Yes, unfortunately, many Latin Rite Catholics are completely unaware that there are Eastern Churches in full communion with Rome. They assume that Eastern Catholics are the same as Eastern Orthodox (ie: not in communion). Or, even if they know about Eastern Catholicism, they assume that Roman Rite practices are somehow “better” and “more Catholic” than what’s done in the Eastern Catholic Churches (which is ironic, since the way things are done in the Eastern Churches developed centuries before the schism, and in many cases are far older than the equivalent Roman Rite practices). Again, MANY Catholics are very poorly catechized.
On the other hand, whenever I discuss the Eastern Catholic Churches with a Roman Rite priest (and I know several of them), they have shown nothing but respect and admiration for Eastern Catholicism.