That doesn't make a difference for me, and most likely for many other people who are against late-stage abortions too. Not all of us are globalists.
If you consider the concrete facts of this particular case [1] (instead of framing it as an abstract privacy or healthcare issue), I think you'd have some sympathy with people who don't find it acceptable.
[1]: https://journalstar.com/news/state-and-regional/nebraska/nor...