Sure. Once you have segregated businesses on the basis of rape, it becomes more acceptable to view men as a whole as predators. This can lead to researched issues like men getting longer jail times for the same crimes. Not that dissimilar to whats still going on today (African Americans being treated as guilty unless proven innocent). We don't have great data on false convictions (we find out too rarely that we were wrong) but jail times and conviction rates might be one way to measure how society perceives people of varying identities.
Easily disregarding the rights of all individuals may also cause society to view men as more disposable. Which we see frequently in the media but also in the gender homicide gap (men are 4x more likely to be killed than women, by both men and women). Or as can be seen by on the job work accidents. Or by the failures of the education system for young men, with men being 20% less likely to pursue a college degree.
Heck we don't even need to spin "what if" stories about this. You only need to look at the 2016 election. While some women did vote for Drumpf, he had a much stronger base among men. It may be that these men felt disenfranchised by the liberal establishment because of issues like the ones outlined above. As we saw, this created a huge rift in American society. I don't think blanket bans based on gender is a laudable solution to that scar.
Just to be clear, I would be fine if past sexual predators, or even any convicted felon, were excluded from concerts. Those individuals have reduced rights as a result of their actions, not because of their birth.