I'd recommend reading books instead of reddit. The author must have accidentally made a left turn on the way to /r/libertarianism.
No anarchism without gender equality (feminism) seems like a reasonable enough point to have in a conversation about anarchism. It's conspicuously asserted and disagreed with more than the surface level point would warrant. All signs suggest this statement is in reality a loaded social signal.
No anarchism without the amero-centric slice of a 21st century political movement and all it's associated baggage? Ah, now we've got something bananastown enough to start the purported internet fights.
So, I'll repeat, define your terms please. And are your definitions the ones everybody in the conversation w/r/t r/anarchism in specific, and anarchism in general, understand to be in use?
I don't know what this is referring to, and I don't understand your question. Defining the real world conditions that would lead to or constitute "gender equality" is the root of the discussion.
What you take as 'anarchism' is merely anarcha-feminism(https://en.wikipedia.org/wiki/Anarcha-feminism).
Anarchism itself got started over 2000 years ago and could also be compatible within a society where women is seen as 'property'