Sounds like the old shaker torches that never caught on.
Perhaps because so many were fakes, with just a primary coin cell and the coil, springs and magnet did nothing. The real ones did work though, usually with a NimH cell (before Liion and supercaps became available or affordable).
TBH, a crank wound torch is a far better solution than waving your hand around, I have three modern ones for emergencies and they are quite good at converting minutes of winding time into many times more minutes of light.
One of these might have been a comfort to the “Wild Boars” during their ordeal.
Though they are all cheaply made, I wouldn’t trust the gearboxes to last.
What is the unique selling point of this torch ?
PS: the supercap is a bad idea, an LED needs a well defined voltage to work consistently, a capacitor, whilst storing energy, has an exponential voltage decay. So unless it’s being charged to well above LED Vf, then dropped down to the LED through an efficient buck driver, I’d say it is a non starter.