ARSo, this might have worked when we had a Sanhedrin and T’Ch having direct discussions with each other. Look at later history – from Rambam to Chasidim, etc. A lot of T’Ch who said something new or unusual were controversial (Does not mean, of course, that any proposed change was reasonable).
So, if R Moshe, R Soloveichik, Lubavitcher Rebbe were mutually respectful is enough to consider all of them worthy respect. It does not mean that you have to agree with everything they, or others who claim to talk in their name, say, of course.