I think I would have a gentle but firm conversation with her saying you understand it's difficult for her and she's clearly struggling and perhaps needs to address that with a professional. Also that she is not being fair to you or others with dc expecting you to behave as if your dc don't exist! I would also point out to her that this IS a choice she's made, by staying with someone who doesn't want dc she is deciding not to have them herself. She has agency in this.
However prickly she may be I think the air needs to be cleared. Either she'll take what you're saying on board and address it in some way. Or she'll take my ridge and cease the friendship which to be honest is probably better sooner than later.
Not discussing with her is really just delaying the inevitable
I lost 3 before dd and was dx with endo, there was a point I really thought I might never be a mother, I had dd but then it turned out I have a rare condition which meant future pregnancies would likely prove fatal and so couldn't have any more.
I went through periods were I couldn't be around pregnant women or babies (and I LOVE babies)
But I recognised it was my issue that I needed to work through and had therapy both times to work through everything in my mind.
What I didn't do was expect people to not get on with their lives and celebrate and enjoy their dc. I avoided certain events when things were too raw like christenings but I sent cards and genuine best wishes, and when and where I was able i explained to people.
The vast majority of people were understanding aside from a dick colleague of ex's who made an unsavoury comment just days after the last mc while I was still in hospital very unwell and ex very nearly lamped him! Frankly I wouldn't have blamed him! Some people are dicks - on both sides of this type of situation.
This sounds like a long term/ongoing issue and not due to a recent thing she has had to get her head around.
While some women (perfectly validly) choose to be child free the fact is most women still have dc at some point, she's going to end up very lonely if she alienates all women, indeed people, with dc
If you're all at the point of walking away anyway you've nothing to lose and may even help her.
How old is she and her husband?
If she were posting on here I'd be warning her about the frequency of men who won't have dc with 1st wife/partner but then in their 40's/50's sod off with someone new and knock them up within a year! Seems to be happening more and more these days.
Her husband is right, she needs to either decide to accept not having dc or leave him and have dc either alone or with someone else.
I'd advise her to do the latter.
This same friend will, if she has a kid in the future, make her kid the centre of everything and expect you all to dote on it and bring it to every meet up
Ohhhh yes! I'm amazed there hasn't been an "accidental" pregnancy already, wouldn't be surprised if there was in the near future either.