I don't doubt there is a difference in the mechanism of arriving at a given connection. What I think it's not possible to distinguish is the connection that someone made intuitively after reading many sources and the one that the AI makes, because both will have to undergo scrutiny before being accepted as relevant. We can argue there could be a difference in quality, depth and search space, maybe, but I don't think there is an ontological difference.

The one that you thought of in the shower has a much greater chance of being right, and also of being relevant to you.