I also think that if you employed a independent midwife, they would be talking to you about optimal positioning well before your due date to try and avoid any of that if possible. I am constantly amazed how often I hear about people going through the hosp system that get no information on the subject

Also, as for bubs getting stuck, My grandparents next door neighbours birthed at home (in a rural town) and her bub got stuck (I think mild shoulder dystocia) but the midwife was able to make suggestions and help manage the situation and everything was fine. I have heard about midwives in BC's managing this too without the need for medical intervention.