I don't know speed shifting but back in the day we used to do a thing we called "power-shifting". Basically you hold the skinny pedal pegged to the floor boards and just blip the clutch while shifting as fast as you can.
This can be rough on the engine if you miss a gear and it over-revs.
This generally worked better with 4 speed transmissions and 2nd to 3rd on 3 speeds since to shift gears you were only sliding the relatively low mass syncro collar a fraction of an inch. Shifting first to second gear on a 3 speed involved moving the much heavier, higher mass actual 1st/reverse gear a further distance. I could never shift 1st to 2nd fast enough to stay on full pedal. Going into 2nd was not hard but getting the heavy 1st gear to stop in the neutral middle position when shifting that fast was the problem.
I actually broke one Hurst floor shifter, and one transmission cover plate from trying to shift faster that the connected hardware would accommodate.
I broke clutch linkages too but that was a different problem. The stock pressure plate had centrifugal assist, counter weights used to provide more pressure plate force at higher RPM, and was designed for nominal 4,700 RPM red line. I was shifting up closer to 7,000 rpm and had to replace my bent/broken clutch linkages more than once.
my old '54.... killing mosquitos.
PS: I recall diving a jeep around in the army... when you get stuck in the mud, you just put it in low low range and get out to push.