Don't ask me to elaborate on this, because it's kinda nebulous in my mind. I think there's a difference between being given an insight and interrogating that on your own initiative, and being given the same insight.
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.
Not sure how to make it clearer. Look at the quality of this post, and compare it to your shower thoughts. I imagine you're not as stupid as the machine was.