On top of my head I'm going to go with Jaehaerys was interested in keeping his male line on the throne, just out of the top of my head. Trying to impose modern values and views on characters from another universe similar to Medieval Europe would not be the best thing to do imho. Also very unfortunately, since Westeros was mostly ruled by "sexist pigs" they would be the ones choosing, yes. Definitely Jaehaerys wouldn't say "My lords, actually your wives get the vote." Hum... actually going by Alicent, maybe that would have been even worse for Rhaenys.
I think Jaehaerys did this because he wanted to wash his hands from another choice.
As for Viserys, we don't know what kind of preparation he had, just as we don't know if and what preparation Rhaenys had. We also don't know how successful of a ruler she would have been, but what I saw during the Dance and before was Corlys taking center stage a LOT, and Rhaenys kind of being in the background for the most part - except in the Battle of Rook's Rest.
I would argue, however, that having good preparation to rule, or even, being a good ruler, doesn't mean you'll be successful at handling your family, just as Alysanne and Jaehaerys very successfully proved; and actually you can have limitations as a ruler yet be very successful at managing a family - like Rhaenyra and Daemon very successfully proved with their children.
If you want to talk about how dirty Rhaenys was done, I think you can start by bringing up her husband having not one but two bastard children with a woman younger than their daughter and then passing those same children as her grandsons and sons of her dead son.
Now that's being done dirty. But most of y'all just hate Jaehaerys and aren't ready for this convo.
No, we don't. Rhaenyra is barely mentioned in the main asoiaf books and I believe there's no scene of Daenerys considering her - which is curious given Rhaenyra's importance and how much she and Dany have in common, but again, just comes to show how George didn't have a whole lot figured out/thought of at the time.
We do have two characters who mention her though.
The first one to mention her is Stannis Baratheron, to call her a usurper and to point out how usurpers need to be punished no matter who they are - I love this part especially since he's s descendent of hers. Thank the gods Rhaenyra was Rhaenyra and not a robot, sir, or you wouldn't be here. #cancelled
The second one is Arianne who is... pretty much trying to compare herself to Rhaenyra when it's like... lady *sigh* you aren't even close.
Some people would say Arianne would be like "You like Rhaenyra? Oh, name her first album". But actually given how George changed the story and characters of the Dance since then... we are pretty much talking about a character with significant differences from the one Arianne is trying to compare herself with - and even then there's not much to go by. Like I don't know what Arianne thought the Dance was about, but it wasn't about some 20+ year old saying "Daddy Love me!" and trying to get his attention by acting a fool. Arianne had daddy issues, Rhaenyra had uncley issues. They weren't the same.
I would actually say that if Arianne said this Rhaenyra would be like "Arianne *sigh* first of it's not samples that you have to give it to everyone, and second, you don't know me. Girl, bye, I'm TeamDany. Bye!"