The two are compatible only when the preferred social feedback standards match the standards of rational thought. All other social standards necessarily come into conflict. Thus, all else being equal, a randomly-chosen standard is quite unlikely to be compatible with rationality.

In actual groups, the standards aren't chosen randomly. But humans being what they are, they usually involve primate social dynamics and associational reasoning, neither of which lend themselves to the search for truth. Generally they involve social/political 'games' and power struggles.