Time dilation can be perceived at the time of the action or as a memory. Spaulding brings up a good point about unprepared folks not being able to catch up with action. That isn't the same thing as real time-time dilation where things are perceived to move more slowly as they happen (versus recalling them in slow motion). Real time-time dialation is associated with various stressors, most notably adrenaline dumps than can also produce tunnel vision, auditory exclusion, etc.
So the whole warp speed perception can be as Spaulding noted, being caught flat footed, or it could be as a result of having the action happen before the stressors resulted in the actual physiological time dilation perception.
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The history of gun fighting for more than a century has shown that the person that lands the first solid hit will usually win the confrontation.
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I thought this was an interesting statement. Spaulding speaks of other studies that essentially looking at shooting data from the wrong perspective and hence drew the wrong conclusions. I don't believe that for most of us non-cops that we necessarily care about winning the confrontation. It isn't a game and it isn't the confrontation that this the critical thing about a fight. A gun fight is a life or death confrontation and the goal is (or should be) the winning or preserving of one's own life or the lives of loved ones. It does no good to get off the first shot and mortally wound but fail to stop the bad guy who then mortally wounds you or a loved one. Just because he dies first may make you the winner of the confrontation, but you both still end up as losers.