This is I think the "thought" process going on (I say thought, but with such lack of intelligence here, it's just random neurons firing).
Women have achieved full human rights, from equal pay to maternity leave, divorce rights, abortion, contraception, marital rape etc etc.
In no area of law is a woman inferior to a man.
And the "progressive" left (well it's more like a crab scuttling sideways than forward direction) believe in bringing up all minorities, disabled, gay, PoC...and of course, now trans/NB.
And in their ethos, there can be no more judging (fat slags, benefit street, feral youth etc etc), no more moralising or shaming of behaviour, appearance, ID.
And trans has gained pre eminence in the last decade as human rights law has matured, as we're told to never make judgements on individuals acting within the law, to be prejudicial.
And with women having already settled rights, it's only fair for them to budge up a little on the Park Bench Of Rights, asking should be enough, we don't expect any resistance. Just asking women to offer up their space to a beleaguered group who are prone to depression and suicide, who are failing in society so often, it's a little favour for such positive benefit to an isolated group. Women are doing well, and because you're so supportive and collegiate, you can accept some pain and discomfort (we do get why Isla Bryson and Emily Bridges could feel untoward to start), until the system works it way out, and we can then all fit happily on the intersectional spectrum of IDs.
Because it means more to have trans, especially transwomen accepted, held up, celebrated, to stop those suicides and depressions and lost potential, than women to feel somewhat discomforted in the short term. We've always asked people to make sacrifices, for social justice. All that is asked is that as all good women in history, you share and make do. Always done it. And can again.
Details like violence in women's prisons, and disadvantage in women's sport, privacy issues in women's toilets and changing rooms, anxiety in refuges, uncomfortableness in lesbian clubs and women's associations, can all be worked out with practical steps, an effort to accommodate, and women's natural proclivity to find fuss free solutions.
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This is where the Be Kind And Don't Judge end of progressivism sees the trans debate, HH a prime example.