Curiously, to anyone who likes the idea of a questionnaire for custom characters at creation... what do you imagine that you will get out of it?
I don't mean in vague terms, but in specifics. Is it going to learn that your character's stepfather was an alcoholic who abused the family and then give you a chance later in the campaign to confront him?
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In other words, it's not going to craft a unique story based on a few questions.
I agree with your final point, but the game doesn't need to go that far to enrich its experience.
I think it's cool to have situational dialogue options linked to class and race. It feels like the game acknowledging my character; I choose those dialogue lines almost every time they come up.
BG3 could use your background a lot more to enrich dialogue options. Let's take your first example. The situation with your stepfather gave you a profound distaste for alchohol and its effects. What if, when Wyll offers you a drink at the party, you could forcefully say no?
It wouldn't take much to include, since Wyll already has a response to refusal, and it would add that much more depth and color to dialogues. Ragnarok is right in saying dialogues options are limited at the moment.
In fact, BG3 doesn't need to add a questionnaire (though the idea is appealing) as it already has unexploited material. Playing a ranger with the Sanctified Stalker favored enemy will garner no reaction from the druids, even though your whole thing is hunting down their enemies. And while the backgrounds already play into inspiration in an interesting way, they could also enhance dialogues.