The state does want babies. Notice the meek state opposition to recent changes in availability of a certain healthcare procedure. Don’t expect that to be changed back anytime soon.
If you’re referring to abortion in the us, I’ve always viewed that as anti-enjoyment rather than pro-child. It’s certainly not pro-mother and it has nothing that helps children once born. Carlin did a riff on this.
I agree that it’s cynical, but I suspect we will see less reproductive freedoms as states see their population growth go negative. Why use the carrot when you have a perfectly good stick.