My thinking is this:
By pretending not to notice them I exert more mental effort on the basis of interacting with a woman. In this way, I am indirectly giving them a form of special attention. Women crave attention, whether it is positive or negative. I refuse to give into that.
Instead, I treat them the same superficially as I would anyone else: man, woman, child, sapient lawn chair, etc. In this way, I change no pattern of behavior in regards to women. They are so far beneath my notice they elicit no meaningful change from me. I deprive them of what they want: special treatment.
You see, in our interactions, women must see that we don't take notice of their special status as having a pussy. So I am as superficially polite with them as anyone. I won't feed their delusions of misogyny nor their ego. This, brocels, is how you play mindgames