Sorry for rehashing something old, but CS posted a while back one proof of the lubavitcher rebbe is how all the Gedolei Yisroel from all over the world came to visit him.
This statement itself shows the extent of how things can be distorted to the extent of becoming brainwashing.
Here in the States and in E”Y it is a common occurrence for gedolim to visit each other e.g. for simchos. When American gedolim visit E”Y they visit the local gedolim as a matter of course. And the reverse is also true.
The Lubavitcher rebbe, however, never left his enclave in Brooklyn and didn’t go to anyone else. Maybe he had good reason for not going elsewhere, not my business and I don’t care. Others, on the other hand, didn’t reciprocate in kind and when they visited US gedolim they visited the lubavitcher rebbe too e.g. the Belzer Rebbe went to Skver, Bobov, Lubavitch etc.
And because of this we have some sort of proof that the lubavitcher rebbe was acknowledged as so great because all the others went to visit him!