Yeah, but that's not the model being curious about things that it itself doesn't know, it'd be the model copying a human response (training sample) based on what that human didn't know.

To consider the difference, there might be some domain that the model was trained extensively on, and "knew" a lot about, but in a given context it might still act dumb and "show curiosity" just because it's mimicking a human response in that situation, not basing it's response on what it actually knows!