I only use gloves when toning , developing with PMK or Amidol.
I have been doing darkroom work for over 50 years and the only thing that has happen to me is the lost of finger prints. It is hard to get a decent set of fingerprints. However, since those days are gone I don't worry about that loss.
I also keep one hand dry and rinse after fixing and before moving on to another exposure.
With students, I discuss the options and let them decide. In 30 years I have only had one or two who opt for gloves as they knew they had a skin problem and their Doctor recommended gloves.