So, you say that you play PbtA games. The only one I remember you actually mentioning is Monster of the Week, which as best I understand is a pretty traditional game in its play structure, but that uses some AW-esque mechanics.
So I don't know if you use the AW technique of "asking questions and building on the answers". But
here's an example, from John Harper who is a pretty serious expositor of AW and similar games:
In Apocalypse World, the players are in charge of their characters. What they say, what they do; what they feel, think, and believe; what they did in their past. The MC is in charge of the world: the environment, the NPCs, the weather, the psychic maelstrom.
Sometimes, the players say things that get very close to the line. Usually this happens when the MC asks a leading question.
MC: "Nero, what do the slave traders use for barter?"
Player: "Oh man, those [freaks]? They use human ears."
That's a case of the player authoring part of the world outside their character, however -- and this is critical -- they do it from within their character's experience and frame of reference. When Nero answers that question, he's telling something he knows about the world.
Anyway, if you use this technique then you know the answer to your question already.
If you don't use this technique, it's pretty simple: as a GM you don't frame PCs into scenes, or invite action declarations, that will produce contradiction with established fiction.