Did we climb Everest to live there?
No but neither did we climb Everest to explore it - it was done for the challenge. Exploration could have been done far more easily by a flyby of an aircraft in the same way exploration of coasts was done by sailing past it to see whether there was anything worth landing to investigate.
As for the deep ocean the drive to explore is curiosity to see what there is there and, ultimately, whether there is anything useful to us down there. So you do have a point that really the point of exploring, at a basic level, is motivated by trying to find things useful to us (either knowledge or resources). However with space the only realistic way that such remote resources can be used is with colonization whereas with the deep ocean it is far more practical to bring them to the surface. There is also the survival of the species argument which suggests that colonizing another planet and creating a self-sustaining ecosystem there is a good idea.
And just FYI, those two places are orders of magnitude more hospitable than the sucking, killing, arid empty deadly hell of space.
Really? We reached the bottom of the Mariana's Trench in 1960 only one year before the first human in space (1961) and since then only four expeditions have made it to the bottom of the Trench whereas far more have made it into space. The crushing pressure of the deep ocean makes it at least as inhospitable as space.