I think the only one being fed propaganda here is you. Lubavitchers don’t boast about other people learning tanya or going to the Ohel as you say. We completely respect other minhagim, chasidic sects and Rebbeim outside of chabad just as it says in the Torah v’ohavta L’reiacha k’mocha.
poilishers that you see praying at the Ohel or 770, came of their own volition, whether to fundraise, or to Daven at the hailiger Rebbe’s shul. They realize and understandon their own the holiness of the Rebbe and the effect their prayers there have on them.
There was never any deal “you come Daven at our shul, we come Daven at your shul”
they chose to come there and good for them. but why do we have to go and travel to the belzer rebbe’s shul just because they came to us?
think about it for a moment and then get back to me.