So just to be clear, a women starts to go into labor, however she gets last minute cold feet and decides she wants to abort -- that's included in the "no matter what" option, right?

[Delete] @Baden

Abortion should be legal. (Only under certain circumstances) — René Descartes

I answered for this reason. Though abortion should be the decision of the woman carry the foetus, as the body should be inviolable, abortion is less desirable the longer the pregnancy continues. It is the role of law makers to encourage wise and sensible decisions by those that the law are designed to impose upon. Thus timely abortions that do less hard to both the foetus and the woman need to be encouraged. What needs to be discouraged is abortion as a thoughtless means of contraception.
In the UK where all health care is free the law; best practice; and provision have to agree. It is the duty of the democratic government to reflect the requirements of society. At the moment we seem to have things about right, though I think a reduction in the cut off date might be coming down the pipeline as care of premature children continues to improve it becomes less justifiable to abort what is a viable foetus.

It is not fair on medical staff to expect them to destroy a 24 week old foetus when they know that such a 'child' could survive with the right care.

I think 24 weeks is too long, and needs to drop to 20. The only exception to allowing it beyond 20 weeks would be to protect the life of the woman, and in cases where the foetus would be severely disabled.

[Delete] @Baden

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Abortion should first be legal, then we can limit it.

If labor has begun, it's just too late, no matter what.

1.3% of abortions are performed past 21 weeks, and most of these are performed because there is something seriously wrong with the fetus. There are a few -- a handful -- of very late term abortions performed. These would typically be a teenager who had been raped but was not believed earlier, or someone who was seriously mentally ill and the pregnancy had become psychologically intolerable.