Hospitals are starting to bring midwives and doulas back. Of course, educating women and families about their options and pushing back on inducing labor and c sections would help as well.
The hospital my wife first gave birth at were very accommodating with her request. I think education of the individuals is a bigger issue than the hospitals (who have probably send and done all different ways.)
https://www.worldhistory.org/img/c/p/1200x627/18720.jpg
The mother appears to be sedentary, rather than supine. I doubt I would have noticed that detail had I not read the article.