You're right, it's only a bet. I can only speak for myself - and so can you.
I totally agree that we have more misogyny than misandry in the world. No doubt about that.
But fighting fire with fire leads to a lot of ashes and rubble.
And again, I can only speak for myself - but if someone accuses me as part of a generalisation even though I have nothing to do with what ails them, I won't exactly have a high opinion of them.