I understood that you couldn't back up, and that the distance was only 15ft. I was using that drill as a similar example and then trying to illustrate how your scenario was different enough to allow for different results.
Removing the safety takes no time at all and is done as part of the draw (not the part where the weapon clears the holster, but as you tilt the barrel up and rail out), though I will agree that if chambering a round were required, it would not go so well.
I will give you that drawing a sword would be much faster than I would think in the hands of someone who is competent, but so is a pistol.
How about this line of thinking: If you are able to close the distance that quickly, then whatever happens is likely to happen within arms reach. If we are that close, I would rather have either a knife or a pistol over a sword as the sword could very easily get tied up that close (though it would certainly do damage).
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