^^ The Govt's response to the petition:
We are clear that we have no intention of amending the Equality Act 2010, the legislation that allows for single sex spaces. Any GRA reform will not change the protected characteristics in the Equality Act nor the exceptions under the Equality Act that allow provision for single and separate sex spaces.
The Government does not intend to change the safeguarding processes that are currently used in refuges and healthcare services. Providers of women-only services can continue to provide services in a different way, or even not provide services to trans individuals, provided it is objectively justified on a case-by-case basis. The same can be said about toilets, changing rooms or single sex activities. Providers may exclude trans people from facilities of the sex they identify with, provided it is a proportionate means of meeting a legitimate aim.
It's all totally irrelevant. Yes, the EA currently allows exclusion of trans people from sex-discriminated provision, but providers aren't doing so.
I don't believe it's because they are misguided by the information given to them by TRA organisations. M&S, TopShop etc all have legal departments to check the legalities of policy changes.
I suspect that they kowtow to the TRAs because it's probably more hassle to go through all the justification of exclusion than to just bow to the TRA pressure. Not to mention the hassle of dealing with the negative publicity of "Bigot!"