Their aim is to turn every hard-won single-sexed space into a mixed-sex space. Women's sports, women's rape refuges, change rooms, breastfeeding support groups, single-sex health care, everything thing we have fought for DECADES to carve out for ourselves.
Having to genuflect and pretend that TIMs are women is part of getting society to widely accept a legal fiction so it will be adopted into the legal system and used in lawfare against women.
They want women to be prosecuted and punished for trying to carve out spaces of their own.
You might be interested in checking out this article: Women's Spaces, Women's Rights: Feminism and the Transgender Rights Movement, which analyses the legislative and policy goals of trans activists and advocacy organizations. The article was published in the Marquette Law Review (which is a prestigious law school journal).
Yes, I'm afraid you're right... although, there's so much more including: severely restrict women's freedom of association, compelling identity validation, and protecting conduct that is unrelated to gender identity using anti-discrimination law.
(pg. 17 👇)
III. WHAT TRANSGENDER RIGHTS ADVOCATES WANT: LEGAL LANDSCAPE AND ADVOCACY
C. Preventing Sex-Separated Spaces from Being Assigned Based on Sex