Very good comment here under The Sunday Times piece:
Even if internal gender were a real thing, why would you use it to segregate? It's your body that goes to the loo, not your gender or feelings. Females and males deserve privacy and dignity, some areas are sex segregated for very good reasons. Why alter sex segregation and replace it with who identifies as their sexist stereotype?
Actually, lots of excellent comments, but that one stood out for me.
Most illuminating link there, Olennas. I note that EL was at one time, don't know whether he still is, living with a LibDem activist (female). If that is still the case, I wonder how she feels about his recent declaration that he's non-binary?