The reason a lot of people think Collective Shout are feminist, is because ironically they get a lot of support and are boosted by pro LGBTQIA+ feminist groups. Part of the reason Collective Shout got enough power in the first place is exactly these kind feminist spaces, such as reddit groups that brigade and attempt to cancel anything they deem misogynistic.
A pro LGBTQIA+ feminist subreddit with over 14 million users in it, was even giving out detailed instructions on how to brigade for, and support Collective Shout. An example here: https://www.reddit.com/r/TwoXChromosomes/comments/1jvjpsr/reporting_the_new_stea... This is also what eventually led to the Itch.io NSFW ban.
Which is ironic now that the pro LGBTQIA+ feminists, with their actions now led to banning of the thousands of LGBTQIA+ games on Itch.io. What a surprise, when you try to give power to those cancelling and censoring things, it will backfire, and even things that you believe in will eventually be hit. There is more overlap between conservative puritanical feminists, and pro LGBTQIA+ feminists, than you would initially think. As many LGBTQIA+ feminists prop them up when they think their goals align.
Also it is a perfect example, of why all censorship, brigading, and attempts to cancel are bad. Because it won't stop at things you agree with, it will eventually hit things you care about, such as thousands of LGBTQIA+ games now being banned here.