Your base assumption is false. You think that a single case, or a handful of cases, can disprove the claim because you think the claim is of the type "for all

Your base assumption is false. You think that a single case, or a handful of cases, can disprove the claim because you think the claim is of the type "for all {men, women, industries}" and therefore you think that one, single point can disprove the claim. Actually, the claim -- as with most human problems -- is of a probabilistic nature and subject to statistical reasoning. That you think your insistence of the application of binary logic to interpersonal relationships is an enlightened approach is astonishing, and makes me wonder whether or not you're a psychopath.