OP I think with this whole topic tbh, we (women in general including myself) need to take control of conversation more.
All along, and because of sex roles, socialisation, really constant and involving so much including things so subtle we just aren't even aware that we comply...
We are always trying to explain, to be persuasive, to take time to explain why obvious total fucking nonsense is... Sorry but I don't agree... Here are reasons...
Asked questions that insult- why do you want to gatekeep femininity? Why do you want to exterminate a whole group of people? But women do it too do what's your problem...
With you DH sounds like standard scenario.
You are a woman.
You know what you think/want and why.
You know you are reasonable.
You're running around trying to respond to a statement made at you that he's saying you need to justify, so he can judge whether your opinion on women's spaces is ok or not...?!
Reverse it.
Say to him.
Your opinion that males with no penis should use female single sex facilities services etc (whatever his actual view is).
Can you explain why you believe that a male with no penis should use female stuff if wanted? Some specifics/ examples would be good!
I really wonder if he will answer straightforward.
Or if he will reply with another question. Tell me why you don't agree! Or question on different point. Or demand stats, proof. Any number of ways to not answer.
Don't let him. Hold strong. This is about women. You are one. You are the one who knows what's what.
He has zero experience of being female woman. In a world constructed by men for men.
Refuse any sidetrack.
Let's talk about that later. I really want you to tell me why no penis = ok. Make him spell it out. If he says no penis no sex offences. Say. Can you show me the things that you know that from? I'm not sure that's correct.
He says you Google. No. I only just heard this. You know this and want me to know as fact. I need to see things that you know this from...
I can guarantee that if like 99.999% of men he will drop it/ get annoyed/ really narked etc before you get very far.