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So then the question becomes why buy a quick shifter?
For a couple of reasons...
In drag racing, even 0.1 sec is important, and quick shifter will do the same thing quicker and more consistently than a human can, even with clutchless upshifts - saving 0.1 sec, 0.2 sec, or even more in the process.
In road course racing (if quick shifters are allowed, which I am not sure about), saving a few tenths of a second here and there adds up, and a second or two can be shaved off a lap time. This is very significant, as this might move a racer by a few positions up.
Some people are too lazy, or simply prefer not to deal with manual shifting.