The short answer is a loud & clear 'no'.
It is an ethics paper and an American one at that, so lots of the discussion about funding etc simply does not apply to the UK and the NHS. I'm not going to get too exercised about an ethics paper right now, though we should always keep this on our radar for the future - a Frankenstein Watch, if you like.
I don't understand two points they make. One is about tw who want a uterine implant (not transplant) when they have no intention of gestating a child, to use the chilly language of the authors, but they want one for validation purposes. How far can any unseen and unfelt body part do that? Or will the use of the necessary drugs to prevent rejection etc achieve that goal for them?
The other thing is the notion of transplantation of a uterus into a tm who once had one provided by nature but has it no longer. To my knowledge, this will often have been removed because of the effects of exogenous testosterone. So how and why would you carry out a Utx on a natal female who is taking T? I imagine the new uterus would atrophy and cause problems, same as the old one.