The cleaning is part of the church's treasured psychology of self-reliance, not just a money thing. In fact the money could be argued to have emerged from that self-reliance psychology, even if it's also true that a psychology can be emphasized within an organization or individual to a relatively pornographic degree (detached from current/realistic context).
Plus they've been selling off buildings since they are such a maintenance suck.
But still, it's an amusing thought and I see no reason not to try :D