YABU. Fruit tea and hot toddy are both examples of things I serve in mugs.
Do you have glasses with handles? I don't. What about those glass mugs - got any of them? Or the ones that are a glass, but with a plastic holder to give them a handle? I don't have those either.
I surety sure as sureness am not putting hot clear drinks in a wine glass so I can hold it by the stem. That is not steamy comfort. That's "pay attention, you might tipple this wine glass."