Also very interesting! Though I seem to recall having seen the Lee-Enfield video (or something very much like it) before.
However, the occasions when I've HAD to shoot fast (and furious?) have all been offhand, at moving targets--which tends to slow aiming down compared to shooting from, say, prone. The actions have also often been somewhat longer, for cartridges such as the .375 H&H and .416 Rigby.
Though I don't think the extra length makes much difference, even compared to what's generally known as a "short" action these days.....