Yes, they don't want single, individual spaces or mixed sex spaces (where all the signatories could go to support them) they want to use unconsenting women. That's the point of trans identifying men wanting to get into single sex spaces. They're not interested in the space itself.
I note that not all trans identified men do this, some don't want to use unconsenting women or in other words aren't abusive males. They use mixed sex / gender neutral or the mens.
So anyone saying they're an 'inclusive ally' is basically saying 'yes, I agree men should be able to use unconsenting working class women' (because let's face it the class dynamic is undeniable) either as part of their fetish or as validation or simply as part of a thrill of abuse and power in forcing someone you see as lesser to do something they don't want to do.
These people don't care how scared, or upset or traumatised or hurt these working class women are. They don't care if the presence of a male excludes these women from the workplace. They're not seen as fully human.
Even after Karen Danson has revealed she was abused as a child and the man Rose's presence in an enclosed space labelled single sex made her retraumatised, these people will sign away her rights.
I suppose we should feel lucky that witch burning is no longer a thing.....