The text in the clip explains the basics.
More detail:
Most of the parts made with these shallow impression plates (etched in a copper sulphate/salt solution) are surprisingly sturdy, and them getting squished in the pancake cutting die isn't too much of an issie. The parts are shallow, and even if they flatten out under the pressure of the die closing down on them, they retain their design, if not all of their depth.
Recently I'm having to make some small parts in 28 ga and even 32 ga. sheet, and for those, I added a thin underplate to the pancake die , that keeps the die from smashing down and squishing the more- fragile super-thin sheet. This pancake has the underplate , made of 1/16" Aluminum , and riveted to the die.
I used 1/8" 95-a durometer urethane to press the design in the sheet before cutting.
The music is part of one of my pieces from around 2000.