OK, I will bite... Too hot to do much more here right now.
Never ran fuel injection on a race car, so I sure can NOT offer "facts" on back to back test.
My response below is directed to a stock eliminator setup.
With "all else equal" including "expert" tuners of both carbs and injection, I would say that fuel injection would be faster.
Reasons: You can tune each cylinder much more accurately with injection. The programming is there to change the fuel load to each cylinder. With a good data collection system, and egt on each tube, you can tell what each cylinder is doing with each change, and level them out. You can set the fuel curve, taking temperatures, flow, rpm, etc. into the mix. This makes a smoother motor, and should make more power overall.
Even the best carb tuner is subject to the flow of the intake, to take the fuel load to the cylinders. Just not going to be as accurate, as having the ability to inject directly into the runner, so it is not impacted by the other cylinders in an open intake. Yes, we can corner jet a Holley, etc. but still not like having the ability to inject into each cylinder, and change it thru the rpm range.
There is my two cents... please adjust for inflation as needed!
Ken
Stock 412