Yeah you should let your stuff cool before washing it… but how many of us do that?
I used to love putting hot pans in the sink with cool water. Loved the sizzle and steam it created, and it was faster than waiting for it to cool down.
Then I would complain about all my pans being cheap and warped. I couldn’t cook evenly because there was one bulge that got direct contact with the oven and the rest of the pan rocked back and forth and either burned or undercooked all my food.
Until one day, my wife pointed out that putting a hot pan in cool/cold water causes them to warp. She got mad at me because some of the ruined pans were actually expensive quality brands. I’ve learned my lesson; no more hot pans in the sink for me. Let them cool a bit before you wash them.