I do bring one of my small italian wine glasses when I travel - part out of sentiment, and part out of distaste for styrofoam cups or plastic cups. (I don't always stay in a place that rates me "real glass".
Like the stemless glass here (but a little smaller and fancier) -
It has not dawned on me before that it might get washed in such a questionable way. (Back to the suitcase when I leave the room, from now on.)