once had a coworker complaining about how the gloves at work make her hands smell gross. she wouldn't wash her hands or change her gloves enough. your nasty hands make your hands smell gross.
It depends on the quality of the glove. Nitrile is vulcanized, and if the sulfur compounds aren’t sufficiently removed afterwards, the gloves stink. I’ve tested several different gloves from different manufacturers via FTIR (trying to choose one for cleanroom use), you almost always see some amount of sulfate in the extractable residue. Some you can tell are shit just by the smell when you open the bagging.
My lab/department always uses Kimberly Clark, they've never caused a sulfur issue for us, though I admit I've never done FTIR or IMS on them, so maybe they do give off minute amounts.