I used an IM for my VBA2C and it was a private hospital. I did shared care with my OB and IM.
I mentioned it to my OB at my first visit and also the hospital midwives at booking in so it was in my file and there were no issues when I fronted up in labour because they knew she would be coming in with me.
My IM was also known to most of the midwives at the hospital anyway and we were all clear that she was there in a supporting role only.