Tate doesn't.
He never said he supported Tate.
He also never said misandry should be countered with misogyny.
He pointed out that misandry is the other side of the same coin as misogyny, maybe so that you can see the issue with OPs gender war slop.
His position has been consistently that both are bad.
Don't straw man him.
I don't understand how that relates to what I just said.