I'm even more confused now, I thought the lasagne up-thread referred to ...lasagne, the pasta dish, but people call US/Chicago style deep pan pizza 'lasagne' too? I've never had one, maybe that would make more sense if I did!
Fans of the deep dish style call it pizza. It is the critics who will refer to it as a lasagna in a derogatory sense (eg "It's not real pizza"). Here is an infamous clip of Jon Stewart liking it to a casserole[0].