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xkcd #2976: Time Traveler Causes of Death
(xkcd.com)
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That's an unusual take on it. That would definitely have been recorded somewhere as a miraculous recovery. Usually it's written that the time travelling assassin fails in such a way that no-one notices, and if they do have some kind of effect, generally ends up being the cause of the history they were taught rather than the changer of it.
The author did a few stories based on the 'Change War.'
In one, a time traveler goes back and takes the bullets out of a gun, hoping to prevent a death. There's no gunshot, but the victim is hit by a meteor and dies anyway. The idea is that Time is immutable and almost impossible to change with only one set of hands.