(there is no control group, everyone is exposed to the same belief and social pressure that reinforces that belief)
That does not mean there is no control group. What distinguishes the treatment arm from the control arm in a placebo-controlled study is that the treatment arm receives real X, and the control arm receives mock-X, which (ideally) is indistinguishable from X. The two arms of the study are not created by finding people who have different beliefs about whether X causes Y, but by giving them X or mock-X (which is the placebo) while preventing them from knowing which one they are getting.
It seems that the OP is rather speaking about situations where the effect is purely psychological anyway, but wants to distinguish whether it is "real" or "biased". As with "having a dog will make you happy because interaction with dogs satisfies human inherent desires" vs. "having a dog will make you happy because you expect it to be the case". Even if you managed to create a mock-dog capable of fooling the subjects into thinking that it was real, it would miss the point.