That is pretty much my position. However, in fact there are very few abortions carried out after viability (c. 24 weeks), and any that are almost always for serious fetal abnormality. Where there is a threat to the woman's life or health, it is more likely that the pregnancy would be maintained as long as possible, and then delivered prematurely anyway.
Note: this is based on both laws restricting late term abortions, and any statistics I have ever read on abortions. There will, of course, be a few individual examples of exceptions to this, which some people feel are the important ones.
Another issue is that a very premature baby is far more likely to suffer significant complications and require extensive medical support. The question is who is going to pay for this? Someone needs to think that the expense and effort are worthwhile, and we can be talking $millions.