I'm still skeptical of a demonstration at a trade show meant to sell you a sprint booster. The pedal's function is to send a signal to the DME indicating its position, and then the DME interprets that as a request for torque and adjusts the position of the throttle blade, igntion and camshaft advance, etc. to provide the requested acceleration. What sorcery could one possibly do to that signal that would convince the DME that the throttle blade needs to move more quickly with only throttle position? I can't think of anything. Let's see this video recreated on someone's car. It shouldn't be too hard to open the hatch on a Cayman, remove the engine cover and intake pipe so that you can see the throttle blade, and then stomp on the pedal a few times with and without a sprint booster installed.
These things do function to alter the mapping of the pedal position, which will indeed make the engine feel more powerful at lower positions. We used to swap the throttle camshaft from automatic Dodge Neons onto the manuals because they would open the throttle more quickly in the lower part of the cable throw. That was a hell of a lot cheaper than $300 though.
There are devices like the Sprint Booster and Pedal Commander that actually do what they say despite what others "think" are happening, and then there are cheap, China Ebay boosters that do what you are describing. I have personal experience with both.
The cheap copies simply compress the throttle signal into a smaller curve which makes the non-linear pedal to TB opening even worse, but in the opposite direction. In other words, it might take only half pedal to have the TB open 100%. I could initiate the electronic kickdown on my PDK with barely half pedal if set aggressively and the car was a bear to drive, lurching off the line. In this case yes, you are correct that is simply compressing the throttle into a narrow band no differently than stomping the pedal at every takeoff.
The SB does not operate this way and works exactly like you see in the video. There is always 100% linear connection no matter how aggressive you set it. The signal is not being compressed. It's simply matching the pedal position more 1:1 with the TB exactly like the video shows, and all you are adjusting is that non linear delay. Zero pedal is still zero and full pedal is still 100% no matter the setting.
The cheap versions compressing the signal will also screw up the launch control on a PDK equipped with Sport Chrono. You floor the pedal to activate launch, but what the ECU expects to see is not where it should be so the LC will stutter then shut down.
Both launch control and the kickdown works exactly as stock with the SB, and the results are real and the more linear TB/pedal connection is noticed instantly. This company has been around for many years with many thousands of happy customers over many different auto models. I dont think they need to make a fake "scam" setup at a tradeshow to sell these and possibly ruin their reputation. Believing so would also require believing that the many thousands of happy users all of these years are all being tricked and just imagining the benefit they are getting.