SpaceX has nothing to do with space exploration - the business model is making money with commercial space flight.
I respectfully disagree. Saying the above is like saying that ship building in the 1700s had nothing to do with world exploration. The reasons for building them were pretty much the same - commerce and defence. But doing so leads to a foundation upon which "economical" exploration can be achieved.
That said, I used the term exploration to encompass the pursuit of commerce in an environment that is very much still exploratory, but your point is well taken (and completely valid). I should have said "...dismissing space innovation..." and that would have been more accurate.
Look up some of the speeches Elon has given about re-thinking spaceflight and you may agree that SpaceX is very much exploratory in nature (still). Fascinating stuff.