I think he is confusing midwife with doula. You don't hire a midwife to join you at the hospital. I think in the US, they are referred to as nurses more than midwives in hospitals. Here in Aus it's all midwives. Therein lies a bit of the problem as the profession should be seen as different to conventional nurses.

I don't think he's confusing anything; doulas aren't medical personnel.

Not sure how much this is regional, but in Poland, you absolutely can hire a midwife at some maternity hospitals. It's an extra private service, through which you can select a particular midwife from the hospital to be available to you for consultations and be there to lead and care for you during birth.

In the US it depends on what your obstetrician's office has in many cases. The practice my wife chose has about 50% APRN-CNMs (Certified Nurse Midwife). We had a CNM for our first delivery and the Dr for the second (timing didn't allow for the CNM to make it to the delivery).

Midwifes are an optional thing in the US; lots of hospitals are OBN/GY-lead & they handle all the ante-natal, post-natal, and delivery stuff.

We found one of the few midwife-led hospitals in the Bay Area and had a very similar experience to the NHS Scotland midwife-led birthing centres.