Absolutely so, mav.
I have noticed, BTW, that when a person coins a new couplet, they will very often quote it in full, and it is only when a few people have adopted it (or if there are strangers in the camp) that it gets shortened to just the first word. Unless, of course, they are using it to test the quick-wittedness of there Chinas, in which case it can become a competition.