I tried it this morning - it didn't work any better than peeling the eggs under running water
The water just won't get under that skin, even with all the cracking of the shell in the glass. The skin is determined to adhear to the egg which is causing the chunks of egg to come away with the shell. Maybe it's the brand of eggs I buy. I buy Egg-lands Best eggs. The eggs I boiled this morning have a Best By date of Aug 16 (which is older than I prefer).
I actually have better luck peeling eggs while they're still warm - the skin seems to loosen better.
I turn the heat off as soon as the water boils and let the eggs sit for 15 minutes too. It makes the eggs less rubbery - rubbery egg salad is yucky lol.