Yes I think this trend will have a negative affect on many female employees, but I think men will still suffer the worst of it. I think overall, this trend is going to be bad for all employees, for work productivity and bad for customers..
For many years I worked in higher education and I saw this trend hit there 10 years ago. Here's what I saw happen:
In a single year, I saw three people in one department all falsely accused of either sexual harassment or gender discrimination. Eventually, all proved their innocence, but it was absolute hell and the bitterness never went away. As a result of this, it became common for males to be advised to never be alone with a female. Well, to your point, how can you be gender-equal if you are advised it's okay too meet one on one with other men, but not with women?
As you know colleges began to adjudicate alleged cases of sexual assault and harassment themselves, denying the accused proper due process. We initiated mandatory gender sensitivity and sexual assault programs for all employees and all students which basically just tell men how horrible they are. In addition, we adopted yearly Cleary act reporting and yearly Title IX training. The department I was in had to undergo an enormous gender equity review. These things combined wasted an incredible amount of time, reduced productivity and were bad for moral.
A feel of collegiality became a hostile coexistence, with most people spending as much time as they could hidden in their offices, men of course stopped complimenting women which was another moral killer. Most people enjoyed work much less and again, productivity went way down. Those who made false accusations were never held accountable for doing so, and I think that's precisely why this mess is going to get worse. Just to be clear, I think harassment should be taken seriously, but so should false accusations.
While I don't think businesses will go down this exact same path, I think we will see many similarities. Workplace moral is going to drop, employees will become less cooperative, especially across gender lines and gender politics are going to hurt productivity. Both men's and women's careers will suffer. That's my prediction.
I used to love work, now I can't wait to retire, I pity those, male and female who are entering the workforce under present day conditions.