@CrispButtyFan
You said
To be protected by EA law, one has to intend to live their life as the opposite sex.
This is just wrong - I'm a lawyer.
To be protected by EA law one has to have the protected characteristic of gender reassignment, which is defined as any one who is or who is perceived as someone who "is proposing to undergo, is undergoing or has undergone a process (or part of a process) for the purpose of reassigning the person's sex by changing physiological or other attributes of sex."
So if I am mistaken for a trans man, which I sometimes am, then the EA steps in despite me not actually being a trans man. Equally, if I announce that I am intending to transition - or I change a couple of attributes such as my name or pronouns - then despite having made no other changes and not intending to go any further with it, then the EA applies there too.
As it should - nobody should be victimised or discriminated against for being gender non conforming, so the wider application is in my view a good thing.
However, the EA does not insist that those who share that protected characteristic must be given access to single sex facilities.