In the US, both east and west coast, my wife was never told anything like this. In both scenarios, the OBGYN doctor group had a rotation of doctors on call. You likely will not get your specific doctor, but my wife was seen by every doctor in the OBGYN group over the course of the pregnancy.

Lots of resources were provided for vaginal childbirth, and the hospital had dedicated birthing suites with hot tubs and yoga balls and all sorts of equipment you could use. There was zero pressure once admitted too to take medication.

However, the fetal heartbeat monitor or whatever they strap to the mom is annoying as hell because it slips off constantly since it is positioned on a rounded belly and a nurse constantly having to come in to adjust it because I presume the hospital is covering its ass from liability.