Most commonly used by people who are adopted to refer to their biological parents (especially I would say if they have a relationship with them). I definitely wouldn’t view it as a woke term (I wouldn’t see how it would serve that demographic) unless it’s being used in a different way to the definition I posted earlier.
Reading the article it might have a new meaning which potentially refers to the parent who actually performs the birth? I still don’t think I’d consider that woke but I’ve never heard it in that context and would find it a confusing term since I’m used to the other definition.