Sure. But no. Like, the MC's job is to ask awesome questions and explore those in play. And the player should step up and work with that. But also, the game just works better when the players are proactive without the MC's constant prompting. The MC framework can be a solution to the problem of passive PC characters, but better to not need it, yeah?
So yeah, sometimes, it absolutely should be something the players do by themselves.
For me, it's the player's job, above everything, to play a protagonist, not just a character. The MC framework gives us a way to help that process, but it's nice to have players that are thinking of their own characters critically and creating interesting, active play.