I don't agree, with Kylo I could just imagine his back story just from the little tidbits we bot and his facial reactions.
In my head he must have grown up being told he was special while knowing inside he had this power, momma Leia was probably busy a lot of the time with Republic stuff and didn't have much time for him along with daddy Han. Still, they probably expected a lot from him especially with his powers. Han especially may have been a bit more harsh bringing him up since A) he knows what he was like at his age and B) knows that Vader's blood flows through his veins and doesn't want to see him go down the same path.
Eventually, they ship him off to train with Luke since they can't control or understand exactly what he is going through and while at first Ren may have resented this he may have also been thankful since he probably thought he would finally be able to be with someone who understood him and what he was going though while also allowing him to reach his full potential. However, Luke as a new Master probably treated Ren like the rest of the new students instead of his nephew or perhaps maybe even harder on Ren because he new his potential and lineage.
In turn, Ren probably grew resentful and impatient at his training, just like Luke was with Yoda, and perhaps even suspected that Luke was holding him back, scared of his power. Ultimately, he succumbs to his quest for power which he believes Luke is withholding from him and demonstrates that he is more powerful than the rest by killing all the other Jedi students before fleeing to the First Order permanently.
Huh, this is really not what I got out of it. It didn't seem to me like Kylo was primarily motivated by anger at his parents or Luke, or really anger at all. He's angry, sure, but I didn't think he was with TFO or out to kill Han because he was angry with Han specifically. The impression I got (granted, I just saw it once) is that killing Han was something he understood to be a necessary evil. He wasn't happy about killing Han. But he had to kill Han in order to become more truly Dark. He wants this because something something Vader - his hero worship of Vader is pretty strongly established. Is it just that he wants to be powerful? To what end? I don't buy "to show them all" because of his conflictedness about actually showing Han.
Edit: I don't think this is an idiosyncratic take on it. I've seen lots of people say they liked that Kylo is presented as "tempted" by the Light because he doesn't actually seem to want to kill his father and that his reasons for wanting to be Dark aren't just about hating people.