I see this as a little different from the othering that applies to women all the time but which we tend not to see because it is built into the culture (i.e., a male politician's stupid comment only affects himself, a female politician's stupid comment is a reflection about all women, an asshole man not wearing a covid mask is just an asshole, an asshole woman doing the same is an example of a wider group of middle-aged white women, all already called "Karens"). In other words, seeing women as largely an undifferentiated mass or at most such a mass with some lumps, while seeing men as individuals except in those cases where men's rights are discussed.

If you read on trans rights sites you will learn that the so-called cis (sic!) women are privileged people because they don't have to transition, and then this idea is generalized so that suddenly cis women are actually privileged everywhere in their lives over all transgender and nonbinary people. Caitlyn Jenner, then, is instantly less privileged than some poor woman of color, say, because Jenner had to transition.

And cis men and women are equally privileged! Because the word "cis" just means what everyone thought of as women in general, the trans rights sites argue that what used to be called "women" is a privileged group. The most unprivileged women, then, are those who grew up with male privilege.

So I'd add that cis women are othered in a different way, by being turned into those with excess privilege.