That's not what I understood Kemi as saying earlier. She said the GRC legally changed sex, unless an organisation chose to apply one of the EA sex based exemptions. Then a male with a GRC would be excluded. I think Labour are also saying that's the case.
Both parties are saying the EA allows exclusion of males with a GRC and some orgs are interpreting the law wrongly. The Conservatives say this is because the EA is confusing and they will update it to clarify. Labour say the law is fine but its being interpreted wrongly so their answer is to keep the law but provide better guidance so organisations are clear on how to apply it.
Honestly I feel like it's dancing on the head of a pin and I don't think that's to do with being a Labour supporter, I think its because its a complex subject with many possible interpretations and solutions.
It's confusing but the upshot is neither party are guaranteeing single sex spaces, and (in my opinion) it's impossible to be confident which approach will result in the fewest males in womens spaces.