Comment: Are you "agreeing" with the OP Thread

Agreeing that in the short-run (in a free-society) the answer is "YES" there would be abortion, because a free-society is a confidential society so there would be truly "private" (doctor / client) medical practice.

and

Agreeing that in the long-run (in a free-society) the number of abortions would be "low" because women and children would have a naturally higher value (as individuals, as consumers, and as potential entrepreneurs).

Because that's the primary gist of the OP-Thread.