I think it's definitely up to you & it's a very personal decision.
I wanted to go through the public system despite having PHI. My local hospital offers Midwifery Group Practice which is seeing the same midwife for all your appointments, having that midwife deliver your baby & gives you up to 4 weeks of home visits. My midwife was also an LC so was very helpful & it wasn't unusual for her to spend 90 minutes at our house. I also had her mobile number & could contact her anytime during the pregnancy & beyond.
Although, due to circumstances beyond her control she actually missed DS' birth but we did have her backup midwife whom we had met previously. But an OB could also miss your birth so no difference there.
I will go through the same program with future babies, hopefully get the same widwife again.