I can already visualize the intense white hot responses over at /r/mensrights and other such places. Where they already freak out, and "virtue signal" as you put it, over much much much milder stuff from feminists. Many people would call for the author's head, and I suspect we wouldn't hear so much about "free speech" from the MRA and other conservative outlets.
Edit: If any of the downvoters doubt my hypothetical, just think about what happened to Anita Sarkeesian. There were no statements about her bravery or defenses of her free speech rights from the conservatives. Just a wall of criticism and boycotts (and worse) in an attempt to get her to shut up. Whole lot of virtue signalling from men on the right, many of whom self-admitted to never watching her videos.