And how about for premade stories? Especially cRPGs? How prevalent is it there? Do you consider it antithetical to play characters who have history in their setting in a computer game?
No, this is perfectly fine ... in any game that is not D&D. But not acceptable in a D&D game. Furthermore, I also would differentiate an RPG where the game's story is entirely centered on one central character, and you are roleplaying that character (like Geralt in the Witcher games). In those types of games as well it would be okay including in a D&D game.