Really? I had heard that they don't have a slime coat and that's why you're not only able to touch them, but that you shouldn't use dechlorinator with stress coat in it.
Anyway, no, I don't have a problem with any of mine shedding skin dramatically. Although a few days ago, Spider had a fungus. I also had like 5 dead guppies in another tank because I didn't notice the filter wasn't on. The dead guppies were fuzzy with fungus. There were also bits of food everywhere that had fungus on it.
Anyway, during Spider's salt bath, I noticed he was shedding bits of skin and it dawned on me. Maybe the reason that axolotls get fungus is because they shed skin and that the rotting bits of flesh are attacked by bacteria. Would make sense since fungus, after so long, does eat at their living flesh.
If they shed when they're stressed, this would explain it. They're stressed by poor water quality. Also why it happens when they have an open wound, rotting flesh. In my case, Spider had a foot bit off by Monster when I put him in the tank temporarily and was being picked on by the other two after I moved Monster back. I realized how stressed he was after putting him in a quarantine tank alone because he hadn't eaten for nearly a week and now has been eating since being alone.
I figured they shed skin constantly because a lack of slime coat?