Not sure why you think I misunderstood. I addressed your point about how "we can't know" that this legend explains or thematically explains the connection of misogyny to how we lose the dragons.
Rhaenyra -- Amethyst Empress --- woman who lost her throne and life to an evil younger brother through force
Aegon II -- Bloodstone Emperor --- both usurp their elder, chosen sister
Daenerys/Amethyst Empress/Rhaenyra --- women of authority and power
Viserys (III)/Aegon II/Bloodstone Emperor --- brothers who have endangered, abused, or killed their sister and meant to displce them from their own rights, innate or sociopolitical, for their own power advancement.
As for Condal and Hess, they can't do pattern recognition, now? Condal especially said he was a "fan" of this series and world. He didn't read TWoIaF and he claims to be a AsoIaF "fan"?
It is similar here, with the Bloodstone Emporer/Amethyst Empress and that particular legend's explanation for the Long Night. This legend doesn't have to be totally real, and I mean that it doesn't have to be true that there was a 1000 year old emperor as the Yi Ti are told to believe abt some of the known Emperors. These are metaphorical in the first place.
All the legend is clueing us in on is that this betrayal, whatever it was, was one between relatives, a man undoing a woman's place, and thus speaking to how it threw off the balance of the world's magic. That women are a critical part of that balance. That's the central idea being conveyed, the purpose of this legend--everything points to Dany vs the Others (yes the others of the Big Five are still relevant, but they have no chance without her).
We don't need to know the actual details of who these particular people were and what they weren't when they loved or died, just that something like this usurpation definitely happened and there was a notable affect on magic in the realm those emperors ruled over, as Yi Tish people are also very active in magic wielding...most of Essos is, unlike Westeros.
I'm going to repeat myself in this post, but: this is not a real history book where we'll likely not know much of anything...GRRM provides more answers in his fictional history than real history books do.
All this is important to the theme of F&B: greedy men sideline, abuse, uproot women they are blood connected to for power (just as the Bloodstone emperor did), the women suffer for it/lose their political authority therefore their ability to as actively direct the direction of the House, and eventually the entire house and Westeros loses dragons to use against the Others and the world's magical & biological ecosystem is totally thrown off kilter until Dany literally sets it right again by bring the dragons back. The dragonglass candles at Oldtown, they light up again when she does this. The last of AGoT:
As Daenerys Targaryen rose to her feet, her black hissed, pale smoke venting from its mouth and nostrils. The other two pulled away from her breasts and added their voices to the call, translucent wings unfolding and stirring the air, and for the first time in hundreds of years, the night came alive with the music of dragons.
So again, why do you need "more" "confirmation" when there is so much evidence, when that's not how fiction works (that you need things totally spelled out for you to be true), etc?
Honestly, this seems a literacy and latent sexism issue that causes this cognitive dissonance in fans that makes them deny these types of connections as canon, real, whatever. Bc you have people caliming Jon is Azor Ahai up the wazzo simply because he's the son of a Targ and a Stark (fire and ice), male, the "sword" of the prophecy they take as literal, etc. etc. But "song" means "war" and Jon has done nothing/nothing has happened around him to predicate a connection the Azor Ahai prophecy in-text. Yet so many people ride for this stupid idea, this stupid unsupported idea!
This idea that has never been "confirmed" and never will be bc there is and has never been evidence to how Jon Snow, a Westerosi Stark through and through, relates to an Essosi prophecy when Dany--who grew up in Essos and was born in Westeros thus is a connector of the two continents; is actively dealing with dragons and having dragons dreams; in Essos where the Azor Ahai prophecy originates; comes from a dragonriding lienage ("fire"); the enemy of "fire" has always been "cold" and Jon is more Stark than Targ, so "cold" must be the ecological and magical threat that is the Others that even GoT has had us anticipate since its very 1st episode as THE enemy before that atrocious last season!!!; when we know "prince" is a gender neutral term form High Valyrian (Prince that was Promised)--has all the evidence of being Azor Ahai.
And why does it matter they they haven't read it when they could have asked GRRM or just read F&B to properly understand the point of the Dance?
Condal can't clock that this legend is narratively important just as much that the CotF/"those who sing the song of the earth's connection to Dany and Westeros' future? Just bc a thing is in Essos, doesn't mean it will not affect Westeros just as real life Ancient Asian societies have been able to make physical trade as well as intellectual "trade" or influence on stuff in the West. He can't clock Rhaena the BB and Elissa's connection to Daenerys? Condal read how Dany is connected to Braavos and how Dreamfyre's eggs went there and didn't put 2 and 2 together?
This is why you don't bring non-fantasy readers to write a fantasy show. who then, bc of said ignorance, want to somehow "make the story better" or different...the same story they don't even understand. Also why you don't bring a marketing guy to write any adaptive as intricate and rich as ASoIaF and to not understand the depth or the patterns of magical phenomenon that good faith fantasy readers have habitually done since their childhood (most readers anyway have read fantasy since childhood and religiously so to understand its conventions) when that's not what they look out for in the first place.
The fact that Dany's eggs are Dreamfyre's also haven't been "confirmed" by GRRM or revealed in The Winds of Winter or A Dream of Spring. That doesn't make this any less true.
What really happened during the Dance of the Dragons? Why did it become so deadly to visit Valyria after the Doom? What is the origin of Daenerys’s three dragon eggs? These are but a few of the questions answered in this essential chronicle, as related by a learned maester of the Citadel
2- It's pretty much fact with how these are THREE eggs that petrified when they are away from Dragonstone; IIllyrio Mopatis had them to give to Dany and she eventually awakens them; F&B takes the time to painstakingly show Rhaena the BB's conversation w/Jaehaerys abt the consequences of THREE dragon eggs going missing. What other reason was there for F&B--a text that aims to contextualize Daenerys by telling the stories of her ancestors before the loss of the dragons and a little after--to do so hard abt 3 dragon eggs stolen during Rhaena's time, from her dragon's clutch, under her watch?! A text that traces the existence of dragons and their maintenance/use by the Targs? Then there is the fact that Elissa Farman--the egg thief--sold the eggs to the Sealord of Braavos, another thing necessary to Dany's arc. None of this is an accident or a red herring, esp since there is literally nothing as damning as evidence or suggestion for the argument of Syrax being the mother...at all. Nothing in the text.
Not everything in ASoIaF is a great and complex mystery; sometimes GRRM gives you clues to a simple "mystery" to deduce the truth of, esp when we already have much evidence of Danyxher dragons being necessary and critical for the coming Long Night against the "ice/cold" others. That she/her dragons are the "fire" in the Song of Ice and Fire, a coming magical war for the world. This is the type of chain of clues that are retrospective and not anticipatory. We already have the result (Dany and the eggs); you were tasked to recognized the line of causation pretty quickly. This is still a fiction series with correct answers.
All this is evidenced just in the main series, TWoIaF acts as a support piece...Condal is a fan, but he can make deductions? Sure.