I didn't used to wear, but the last week I got burned because of the chemicals contained in the dishes soap. My hands hurt and I have like two red dots on my hand. As well, when your hands are in water for a long time your skin will get damaged since the amount of nature oil that should be on your skin is washed out. Otherwise you use hand moisturizer.
I don't wear the glove thing either. Where I come from it's pretty unusual to wear those when doing the dishes, it's seen kinda idk over the top or unnecessarily and pretentiously delicate conduct. Granted our common dishwashing soap doesn't normally cause rash or serious skin irritation but it does leave your palms feeling kinda dry and chapped after prolonged exposure.
I don't wear gloves while doing the dishes, Is that bad ٩(๑❛ᴗ❛๑)۶? 4 years strong of daily dishes without gloves (๑•ㅂ•)و✧