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Huh? Is that not what pumping is? I don't skate but this is how it works for me IRL on skis and mountain bikes. The Skate series represents it with the same hold/release mechanic, because you have to set up before the transition (the concave part of the ramp), then do a thing in the transition.
The physics are pretty cool: in the transition you're a mass rotating around a point, just like a weight spinning on a string, or a figure skater (or a person in slippy socks on hardwood) spinning with their arms out. If you're crouched in transition, or your arms are out while spinning, your moment of inertia is high. Standing up in transition is like pulling your arms in: center of gravity moves toward the center, moment of inertia lowers, and the law of conservation of angular momentum means your rate of rotation around that point goes up, which can only happen if your linear speed goes up. This takes energy, of course, which is why it takes so much effort to pull your arms in while spinning or stand up in transition.
The tutorial tells you to preload pumps both on the flat and coming down from the vert because physics don't care if you're traveling up on the curve or down on the curve. Either way, go into the curve crouched, and stand up before you leave the curve, and you're putting energy into the system that makes you go fast.
People say this is also how pumping a playground swing works, but I cannot begin to visualize the movement of your center of gravity doing all the stuff you do to pump a swing.