I have similar model care thru my hospital. I chose the midwife model of care but at certain weeks have to see whichever Dr/Ob is on in the outpatients clinic. I find the midwives fantastic, never feel rushed, feel so comfortable but with the Dr you don't know what you're gonna get and alot times I do feel rushed in and out cause they're so busy (the amount ppl in waiting room is ridiculous!)
And now in your case there is the prob that each Dr you see may have a different opinion on the situation. Of course the choice should be yours but it would make things easier if there was the one Dr who you could sit with and help make that plan work.
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