It's a nice story you've got there, but the reason there is a replication crisis in the softer sciences is not due to the evil capitalists of the marxist imagination. In fact, much of it is due to cultural marxist insistence on outcomes conforming to political correctness, as well as uncritical acceptance of politically conforming work. See the ongoing fight against the idea of a high genetic basis for adult IQ.
All of this is obvious enough: capitalists aren't interested in non-reproducable results unless it is obviating them from blame for a given externality. But that sort of research is a small fraction of overall research (and should absolutely be done by impartial third parties.)