"That's why the concept of trans women doesn't make sense. Yes, they're childless, but they're not regarded as non-mothers the way real women are. Real women are damned if they do, damned if they don't."
Trans women do consider themselves real women - they just happen to be women who were born into a male body. I don't think it's helpful to draw a line between 'trans' and 'real', that helps no-one. From what I've read, transitioning is a tough process, as cisgendered women (i.e. born as women) we have privilege over them in our 'inherent' womanhood.
I do agree that transwomen don't carry some of the 'You must have babies to be a proper woman' baggage that non-trans women do. I think, to a degree, having children is fetishised in society as woman's most desirable 'state' and reason for being. We must all be mums, or aspire to be mums, or we're unnatural or freakish.
Back to the OP's point, I do think pregnancy is a privilege. I've been told we may never have kids for medical reasons. I'd always taken it for granted that I'd one day fall pregnant and have children, and now I'm having to unpick my ideas about myself, who I am and even whether being a mum is really what I want.