These measures were implemented in part due to the recent closure of a large number of abortion centres in France. This without a very strong pro-life movement, at least politically.
The big issue was money. Abortion is poorly remunerated in France. At least, it's seen as a money loser. Hospitals had to balance their budgets, and the abortion ward was seen as dispensable.
I have a hunch these Regional Health Authorities will have trouble meeting their quotas. If money is what was stopping hospitals from performing abortions, and they don't give them money, they will not do abortions.
It's true that midwives might pick up the slack. Are there enough midwives to that? We shall see.
I guess there's a silver lining to statism.