Tim Rudman talks a lot about cross contamination in his lith printing and toning books. And sure enough, the couple of times that I have been careless in handling some papers with my fingers, it was ruined by a stain from whatever was on my fingers running down the print while draining it.
Plus, a darkroom is a chemistry lab, no? I doubt that any chemist puts his hands in whatever chemicals that he is working with in his lab. Same with the hazardous materials guys I used to work with. They never, ever exposed themselves to chemicals, regardless of how innocuous it was.
I too got lucky and got a whole bunch of great old stainless steel tongs with on an ebay purchase. A lot better work with than the bamboo or plastic ones. Won't absorb chemicals, either.