I go in the opposite direction - we always do a session 0 for party/character creation. During this we work out at least thumbnail background as well as connection to multiple other characters.
As a DM, I want hooks. More things both overt and subtle that I can tie your character into adventures. Generic "I'm here to kill things and loot their bodies" need not apply. Here's an article about making a good number of usable hooks.
https://www.reddit.com/r/DnD/comments/775caq/my_friends_and_i_have_something_called_knife/
I also enjoy player input on the setting. "Hey, the rogue just gave me a bunch about the guild he was in and the guard organization of the major city he was front. Fantastic!". "The barbarian just fleshed out details of his tribes beliefs and ancestor worship". These aren't directly backstory, but is details from players for me to incorporate which may touch on the question.