We're still seeing a lot of this "transgender people can be excluded from single sex spaces if proportionate" nonsense. Almost as soon as the judgement was issued, activist groups (including legal firms, somewhat shockingly) issued press releases claiming that was the case. While some of the worst misinformation has been corrected, that one is still going the rounds. It's 100% wrong.
The judgement actually says that everyone of the opposite sex must be excluded from a single sex space, otherwise it is not single sex but mixed sex, in which case nobody at all can be excluded. It's absolutely clear and unambiguous.
The only place where the question of proportionality arises is when determining whether it is legitimate to designate a particular space as single sex. Once that has been decided in the affirmative, that's the end of it. It has already been established that toilets, showers, changing rooms and sleeping accommodation can be designated as single sex.
Imagine if it were as these jokers maintain. Man in a dress walks into women's toilet. Women complain. Management declares, but it's a pretty dress and he's shaved, so we've decided it's proportionate to let him stay. It's completely unworkable. If it says women on the door it has already been decided that it's legitimate and proportionate to exclude men, and that means all men. The only alternative would be to change the sign to say mixed sex, and that itself brings insurmountable problems.