From a Bayesian point of view, promulgating the false rape accusation idea is just irrational. When someone is raped (men and women are raped) they have a prior probability in mind about whether their accusation will be taken seriously. People they report to also have a prior as to whether the rape accusation is credible. In a world where most rapes are unreported there is almost no reason to adjust those priors towards "this is a false rape accusation."
Our legal system sucks and I think its bad that a person's life can be ruined or seriously damaged by a false accusation. But it is worse to be sexually assaulted and not have it taken seriously. I think if you balance it all out, focusing on the false accusation narrative is bad.