I don't even understand how this is a discussion. Look at the Challenger Hellcats, the manual version is two tenths slower than the automatic. For a very long time, it's been this way. Like stated above, the automatic transmissions of today can shift faster then ANY human.
Average human takes between 0.5-1 second for a shift.
Automatics can be as low as 8ms (DSG Veyron) or on a more average level ~200-250ms ?
E46 M3s were 0.33 of a second with the SMGs I believe