What has range got to do with action speed?
The 44-40 was just a low recoil example I picked to support my argument on recoil affecting speed on target.
My brother can operate his Winchester Defender at blistering speed, it sounds like one continuous shot when he does it, however, the first one is the only one with any hope of being on target.
If you took a pump gun in 44-40, they used to exist, and then a lever gun, in the same cartridge, yes, the pump would IMO win.
However, if the pump gun is in 30-06, and the lever in 44-40, it ain't gonna happen, if the two rifles must stay on the paper.