Check the author of the comment you are referring to, it's not me. For what it's worth, I do not use the term "woke" for the reason you mentioned, but if someone asks what definition I would apply to it if I had to (as I was here) what I wrote is my answer.
That's not how I took their response at all. I believe they were specifically picking up your derogatory use of the term "woke". If you meant "illiberal", why not use that term? It's far less ambiguous and less loaded.