The answer is yes, but you have to be vigilant about it. After every time playing or practicing, I give the tip a wet thumb and a good hard rubbing with a paper towel. I don't get any mushrooming, because I do it every time. It doesn't matter whether it's a single or layered tip. But again, you have to do it often, or your tip will probably mushroom. Maybe a little hard to prove, but all the tips you see above have been played with many times, and burnished after every practice, no mushrooming. You be the judge.
All the best,
WW