The question was inspired by multiple threads in which people were talking about the balance inherent in rolling for stats versus point buy, or how very good luck or bad luck had impacts on whether a character was fun to play, etc... It occurred to me that if you just eliminated Ability Scores entirely, you could eliminate those potential problems and arguments as well.
Then the a question is really on the role of randomization and whether or not core capabilities when creating a character should rely on rolling dice or predefined values.
My experience (and opportunity to play) other TTRPGs has admittedly been limited but I've never come across randomization at the level D&D can do it in any other TTRPG or video game. I have played plenty of video game RPGs and unless they're based on D&D they never randomize it. You get some sort of pool of points to spend on powers, talents or whatever else they call your abilities. I think rolling for abilities is the sacred cow and I personally choose to ignore it.
I understand why you phrase it as you did but I think it also obfuscates the question.

