I'll probably stop it at this post to avoid derailing the post too much. I have nothing against the LGBT community, but I'm not gay myself. Through, I have to admit Jon Snow (Kit Harrington) is attractive; most everyone in the GoT cast is talented and attractive. I have a pretty soft spot in my heart of misrepresented characters and people in general, which might factor in my pity for the Kingslayer, but I always took Jaime's arc to be the best because its simultaneous cohesion and change. On one hand, Jaime's arc is such that every part of his actions makes sense when compared to another scene. The scene when he opens up to Brieanne gives you a new perspective on Jamie confronting Ned, its understandable Jamie is buying into Cerise's rhetoric about Mycelia dying after watching him witness his only daughter's death firsthand, and him dissuading Jon Snow for joining the Night's Watch has a whole new light shed when you understand his own taking of the white cloak. In other words, his scenes are the most complex, and he becomes easier to emphasize with as we understand his motives. While Jamie's arc is really nicely structured, I also find it to be the most unexpected. Tyrion, as your example, has a really good arc. However, season 7 or 8 Tyrion doesn't seem out of place in season 1 or 2. He's just more prone to making mistakes and more bitter, but they were traits he always carried, and his emphatic, alcoholic, Napoleonic person really doesn't leave him. I'm opposed to Daenarys for my own reasons in the first place, but season 7 or 8 Daenarys is also not very different from early season Daenarys. She gained some dragons and titles for herself, but she's the same naive person who bought into the whole "Westros is my home" idea. Jamie Lannister post-cut, on the other hand, is definitely different than early Jamie. Jamie gets a conscience. He starts distancing himself from his sister, he learns from his mistakes against Robb to become a capable politician/general, and he puts his life and honor at risk by riding against the Night King and Cersei's orders.
As I said though, I do want to keep this thread relatively on-topic. I guess I'm just introducing myself and how I look at things with the help of literature (as well as showing off my ability to kind of pull of a valid argument. Still not good as you or tejeretics, but sort of kind of learning how to express viewpoints?) , but I don't want to subvert this into a GoT thread.