Drag racers have had this problem for a long time; those races last less than 5 seconds. This hill climb is interesting because it's only a bit longer, half a minute, which really changes the equations for electric race cars vs. something like Pikes Peak which is 8 minutes to the top (and is now also totally dominated by electric cars).
If acceleration were an instantaneous off-on step, that would be a https://en.wikipedia.org/wiki/Dirac_delta_function
Obviously, this is wrong in the real world for so many reasons, but that doesn't stop this from getting repeated.
Everyone who's ever used a drill knows that while speed and torque are inversely related in most of a motors normal operating range you don't get insane torque at low speed. Of course you can wind a motor differently to mitigate this somewhat but still, not a huge improvement. You wouldn't see reduction gears on all sorts of things if this were the case.