n0m, regardless of what Lubavichers may or may not think, to say that when other chassidim say “the Rebbe” they are referring to Lubavich is ridiculous. Go and listen to them and you’ll see it’s not true.
It’s one thing to say that other chassidim all believe that the Lubavicher rebbe is the greatest – and I have heard that many times – because since you can’t really know what someone believes you can make any claim you want. But to say that they are talking about Lubavich when they are clearly not is plain stupid.