No, they absolutely should not.
Until recently, male-bodied people didn’t tend to enter women’s single-sex spaces. And if they did, women were well within the rights to ask them to leave. The law (and basic decency) was on their side.
That is no longer the case.
You do realise what the unintended consequence of self-ID is, don’t you?
Anyone can claim to be female to get access to women’s single-sex spaces, and to vulnerable women and girls (note: all girls and women become vulnerable when in the presence of someone who intends to harm them).
This isn’t even about trans people per se (although trans-identified males should not be in women’s single-sex spaces). This is about the removal of safeguards for women and girls that then allow anyone who simply says they’re a women to gain access to spaces they should not be entitled to be in.
You may be OK with that, but I absolutely am not. And I don’t see why women’s safety, privacy and dignity can just be thrown out because women like you are fine with it.