I haven't read every word. It looks like person a and b are arguing about who is right or wrong, which really, isn't all that interesting.

I think the actual topic of women in society is more important than any disagreement, trolling, or whatever, and suspect that Adam — if you gave a shit about that topic — you'd just say "yeh oops, equality is more important than any need I have to prove myself correct", and leave it at that.