Yeah, that's really strange. First time the article mentions "birthing parent" I was ready to disagree with you, OP, because I thought it was referring to both the mother and father. But then as you get through the article it just gets really clunky. In this sentence, "birthing parents of color" is clearly meant to contrast with "white women". Clumsy writing.
"For birthing parents of color, who are not seen as being soft and vulnerable like white women are, this judgement becomes even more intensified..."
And then this sentence is just plain weird:
"Birthing people are always judged in our society. Whether they choose to have lots of children or choose to have none, whether they choose to have an abortion because of their circumstances or carry their child to term regardless of their circumstances..."
How are you a "birthing parent" if you choose not to have children?! WOMAN!
Shame - because it's an important issue, and basically a decent article (if a little bit lightweight), and it smacks of an editor who has hastily gone through it with an Inclusivity Red Pen.