"that's not the sort of thing that ever could conflict with science!" do you mean to include psychology in 'science' if so, why would you care about it then?
Psychology could (and often does!) show that the way we think about our own minds is just unhelpful in some way: actually, we work differently. I think the job of philosophy is to clarify what we're actually doing when we talk about our minds, say, regardless of whether that turns out to be a sensible way to talk about them. Psychology might then counsel that we ditch that way of talking! Sometimes we might get to that conclusion from within philosophy; e.g. Parfit's conclusion that our notion of personal identity is just pretty incoherent.
Thagard (2012) contains a nicely compact passage on thought experiments: