I think we then need to cut those people out. If you're not professional enough to be able to meet with anyone one-on-one, and not do anything, then you don't deserve a position in leadership.
There are some terrible people out there that will lie to get what they want (c.f. borderline personality disorder, sociopaths, etc.). They exist in large quantities in the business world.
I've been on the receiving end of false (non-harassment) accusations and it sucks. I now take precautions to prevent that from happening again and I don't think it's unreasonable to expect that BPD or sociopath women would use false harassment accusations to achieve their means.
His point was: "... and not fear to ever be accused of anything,"