Your theorem fails to take into account the very strong influence religious beliefs have on a person's happiness. This has been shown in sociological surveys. Therefore a premie with a strong belief in Rawat may well be happier than one without.

We are mixing up two different meanings of the word 'happiness', which in any case is a higly subjective word and hard to define. Much of what passes for 'happiness' seems to me illusory, or at least have negative consequences - an example being a depressive who gets drunk, who for an hour or two is 'happy', laughing and smiling, but only beomes more depressed later when the alcohol has worn off. I think the happiness that your 'sociological surveys' show that religious people have, could well have something of this nature.

But my main point still stands: however happy a person is, or appears to be, while holding a destructive belief system, like Maharaji's, they are nevertheless generally better off if they can see through the belief system and jettison it.