I'm pretty far left, and given his position as a VP it's kinda absurd to say you won't get lunch with a woman.
But also, to the slightest degree I understand the sentiment.
Men and women do have a natural tendency of there is attraction to flirt and develop feelings it literally can't be stopped over a long period of time.
That doesn't mean you'd act on it, I avoid 1 on 1s with women from my past I know to be dangerous to my relationship. That doesn't even mean sex, it means I don't want to have feelings towards another woman, so I try to avoid situations where it could happen.
It isn't labeling women as property, it isn't even about sex. It's just about what it takes for you as a person to be the best husband you can be.