Where. did. he. say. that?
https://www.theguardian.com/commentisfree/2023/jul/25/labour-gender-recognition-anneliese-dodds
This is the link upthread I think you refer to. HE didn't say anything. Annlease Dodd's said something about biological women but not that laws would be tightened.
From the article on this point -
But gender critical feminists don’t get all they wanted, either. Labour will sensibly keep the Equality Act provisions that allow single-sex spaces like domestic violence refuges or rape counselling services to exclude the opposite sex, where that’s a proportionate means to legitimate ends – essentially, when you couldn’t reasonably provide the service otherwise. (Though Labour’s quid pro quo should be cast-iron commitments to properly funded bespoke services for trans people excluded from any mainstream service).
Practically speaking, as Dodds says, that means there will always be places “where it is reasonable for biological women only to have access”. But still, some gender critical campaigners worry that the law isn’t clear enough, with service providers afraid of being called transphobic if they try to use it: there will be pressure for Labour to be more specific about who can compete in women’s sports, say, or how schools should handle trans-identifying pupils, or NHS treatment for trans teenagers. Perhaps Labour is quietly hoping such awkward questions will be resolved by someone else before the next election.
The devil in the detail bit is that the Equality Act (which no one has proposed to tighten up as far as I can) doesn't refer to biological women. Single sex spaces can be allowed under the act but I cannot tell how a male who is a legal woman (through a GRC) can be legally excluded. If the Equality Act used the term biological woman you would, of course, have a point.