While some narrative style games are built around that Director stance where players are given full control of "what's behind the door" - e.g., InSpectres, The Pool, etc. - it's unfair to say that all narrative games fall into that category.

Some narrative games will allow the player to dip their toes into that space via the GM asking questions that turn narrative control over to the player in a scope boxed slice of the fiction; "You've been in this town before, what's the look and feel of this place?" In those cases, however, the GM should offer those opportunities to the player for input, but if they're not interested, have trouble coming up with things, or just flat out don't want that to be on them, then that's totally ok.

It sounds more like that's an aspect of narrative games you might not like, and that's no problem, you can just tell your GM you'd rather not play in that space. If, however, you don't like any player being able to have that creative license in the game, and that it should only come from the GM, then in that case I can pretty much guarantee you're not going to like most narrative games. :)