I have a different view. I don't think these terms are meant to detach women from the lived experiences of our female bodies. I think they are meant to anchor & limit women to a few uniquely female & short-lived functions of some of our bodies.

Referring to us as "people who menstruate" reduces us to a process that only occurs during approximately 40 years of our lives, from age 11 to 51 on average. Moreover, this terminology suggests that during those 40 years, we menstruate 24/7/365. When, in fact, most of us menstruate for at most one week out of every four.

As for calling us "birthing people," for most women labor & childbirth takes up a day or two of every FT pregnancy. I'd have no problem saying that humans are breathing people because we breathe every second of our lives. But birthing is a very specific, time-limited endeavor that can only occur once a year at most, & which the vast majority of women experience only on occasion in our lives - and which many women never experience at all.