Those are not the only two options. For example if the distribution of interested candiates is already skewed towards one gender then forcing gender quotas means you need to hire inferior candiates even if both genders have the same distribution of capability.

That said, not only discounting that either gender could be better at certain jobs but refusing to talk to someone because you suspect that may be their opinion is beyond absurd and that kind of politicized gut-based and evidence-fearing thinking may be another reason why organizations that don't pay attention to gender politics are more capable than those that do.