This ain't going to work for women.
It's not working now when we have the exemptions and a relatively robust GRA.
Service providers will default to letting anyone in for fear of falling foul of a subsequent legal challenge.
It simply can't and won't work in practice.
The only solution for women is repealing the GRA and enforcing single sex exemptions.
Third spaces where necessary, but there won't be an overwhelming call for them as it rather removes the rationale for many.
Labour are trying to win back women they haven't won this one back.