Its great that you can "double tap" really fast, and look really cool - but in combat, you'll just get dead.
My advice for your concealed carry shooting - throw away the timer and focus on accuracy and techniques - the speed will come.
Those splits are not "really fast," in fact they are slow as molasses, 0.5-1 sec. splits are just awful, but here is a person who has taken the time to quantify their ability and started to work on improving an aspect of their shooting. Which is exactly what people who chose to carry an firearm should be doing. Splits of 0.2 sec. delivering well aimed shots are easily achievable by most every handgunner with full power ammo at ranges inside of 10 yards.
Now if what you're trying to say is that he should not be chasing some ethereal time goal and make sure he develops accuracy etc. then I agree with you to a point. But how do you know if you are improving without a timer? How do you know what works and what doesn't? Maybe some of the professional trainers on this board can chime in about the usefulness of timers.
My money will always be on the guy that can put a volume of rounds on target first, just sayin.
I like the firstest/mostest comment above, sums it up pretty well.