“Viserys neglected Aegon and Aemond and that’s why they are sad little meow meow serial rapists and mass murderers.”
Samwell Tarly’s father forced him to wear his mother's clothes, bathe in blood, had him chained and manacled to a wall for three days, and threatened to kill him unless he joined the Night’s Watch yet he didn’t become rotten because of it and is one of the kindest men in the entire series. Sam went through HORRIFYING abuse and humiliations at the hands of his incredibly cruel father, infinitely worse than anything suffered by Aegon and Aemond, and he still managed to keep his heart pure, no matter how traumatized he was.
Good example, I'm stealing it. I already mentioned Jon and Dany and others, but this is a really good one.
Some might say we shouldn't compare people and berate them for not measuring up to others, but this is about the idea that the greens' entire personality and justification for being horrible is because their dad wasn't nice to them, when he could have been so much worse. Show!Alicent was the one to neglect/abuse Helaena and Aegon. She and Otto performed direct harm.
Also, the point is to show that it's not impossible to be a better person than your parents and that Alicent and Otto infused a sense of superiority in these boys that they also had the ability to reflect on for all the time they've been alive. You're telling me that Aemond supposedly read "philosophies" to be a consummate ruler or leader...and he couldn't bring forth the calm to not go after Luke and chase him for more than 6 minutes, laughing and terrorizing him?! Please. And if he and Aegon truly were inclined, they could have reached out to Rhaenyra of their own volition as they grew older, but they didn't. Especially, Aegon, who had many more years over Aemond. They chose to keep their distance, while Alicent was the one to enforce that distance and make sure Rhaenyra's kids wouldn't have a relationship of any kind with her own since R's kids were born.
In the book, the same goes about the superiority bit. The green boys genuinely felt that the throne belonged to them because they were male, end of story.