"just believe women" (emphasis mine) implies not applying the evidentiary standard or due process to accusations from women. If we apply due process we aren't just believing them, we are (also) verifying their claims.
But, like I said, the "justice" system is broken. Not only do we have ACAB issues, and DAs being political, but there's systemic bias against women and the marginalized from judges. (The "right" judge might not have a negative bias, but "on average" there seems to be a measurable effect/affect, tho it is hard to be sure you are comparing like with like when aggregating cases.) All of those are aggravated due to Captial being unequality distributed, and legally influencing 2.5/3 of those systems.