When they talk about so-called trans-exclusionary rad fems they never specify who they are excluding. It's men. You can't change sex and the Friday night swimmers were illustrating the fact.
The comfort of others could easily be ensured by recognising this and where conflict is the trans person uses a separate area or service which means they don't impinge on the rights of the majority and everyone's rights are protected. But in practice it won't and doesn't work that way because they are recognised legally as the sex they identify with irrespective of that they are male (or female as the case may be). They can claim that status as a female and that they are discriminated against on that basis and if it is another female they trump them as their protest at them exposing themselves in a changing room is considered to be discrimination against them on the basis of sex. I'm not sure why identity is seen as somehow different in basis when the fact is that identity currently and with new self-ID provisions means they are recognised under law as legally the sex they identify with not the sex they are.
That issue is completely dodged, and of course that these people get to quadruple dip and any unfairness and unequal privilege relating to it is not addressed. They get the benefits of being recognised as men and retain the advantages of that afterwards, they get to access women's spaces, awards, positions etc, they get to access LGB spaces, awards, positions etc and they get special recognition as trans based on legal recognition of that mysterious soul-like quality of gender identity.
All along they just assume they are identical to women, and/or transition will make it so and they don't recognise that with self-ID anyone can simply say it is so and it cannot be challenged if they enshrine it in law. They can claim sex discrimination based on the sex they identify with and the law will be blind to the effect on people actually that sex and their rights and won't see the conflict in rights that ensue.