Defined character, hybrids are fine sometimes if I feel the game gives them enough personality do they don't feel like a self insert but more akin to improvising a character in a play.
Idk, I've always struggled to find games where the roleplaying feels authentic, for lack of a better word. Yes, being able to have choices sounds nice in theory, but certain issues crop up. A big one is I want to see as much content in a single playthrough, so I optimize the "right" choice or for games with morality systems, commit to good / bad. Another issue concerns romance dialogue trees; games have a knack for heteronormative af writing (maybe modern games do this, but I've never seen a "I don't swing that way" when women in games come onto me which is like, my most natural response?). I also find a lot of games with avatar have trouble establishing a strong narrative; when the player character is a self-insert, it's hard to generate good conflict when the MC can respond many different ways if they respond at all (this is the reason I dread narratives in Pokémon)--the best solution I've seen is have another character drive the plot forward with the self insert as a surrogate protagonist, but then I think the MC is mind of unnecessary so /shrug.
In the end, I have found just having a defined character, as boring as that is, to be the most enjoyable method.