I use the two gloves while developing film (pyro)- one glove for prints (amidol) method, too. And on a similar point, what about wearing a mask?
At about age 30, I developed symptoms of asthma - coughing and wheezing. I had never been diagnosed with any problem other than hay fever before.
At the time the symptoms began, I had been developing film in D-76, paper in Dektol, and fixing with Kodak fixers for about a decade. I had just begun experimenting with Pyro Triethanolamine film developer. With all of those chemicals, I had mixed them without a mask and used them without gloves.
That was years ago - before my photo hiatus. Now that I look back on it, I wonder if the photo chemicals played a hand in my asthma. I have no way to know, but I do know that allergies can develop from prolonged exposure to many things. Allergies do build up over a period.
So now, I use a mask when mixing powdered chemicals, and I mix them outside. I wear gloves while mixing and while using the chemicals. Despite the inconvenience, I think it's probably best to do so. I would use the gloves and mask even if I were using the more common chemicals.