Without wishing to piss on anyone's chips I do strongly suspect that regardless of any back pedalling now, it's gone to far to be able to take it all back.
Anywhere that has installed gender neutral facilities, allowed students To use whatever changing room they wish and all the girls who lost out to boys on sports teams are still no better off whatever happens now.
And some where they spend six hours a day five day a week or so activity they do once or twice a week for definate will have more impact on their lives than a public toilet or hospital ward they might never use.
Who is really going to stand up now and say " we are sorry kids we were wrong have your changing rooms back"
Everywhere is already acting as if it's law. Are Labour going to fire their woman's officer? No.