I don't have sweaty hands but I think I have acid hands. My strings turn black and I don't get more than a few days of days of "optimum" playing out of them. Never bothered me but it sure as hell bothered friends whose guitars I picked up.
I have a hunch that perhaps a more alkaline diet might help? I added more alkaline foods to my diet a couple of years ago and it definitely seems like I get more life out of my strings before they blacken.