Yes. It is exactly that. Post birth abortion. Game-end. Offing. Game over. A die. Termination. Extermination. Erasure.
Then why the hell do we have a special name for it! It's no longer abortion because the baby's already out of there!
Adrian was a mission so he got aborted, but it was after he'd begun, so it's a post-birth abortion. He didn't live long enough to earn the soul I was going to give him.