If the popular conception was that a bunch of gods lived on top of the mountain, did anyone make an attempt to find them? For an atheist, it would be quite a coup to prove there were no gods there. For a philosophical empiricist, it must have been a burning question to know for sure. For a true believer it might be an opportunity to obtain a boon.
u/toldinstone talks about perceptions of the divine residence on Olympus here.