I’m not sure anyone has tried foil with the diode laser yet, but it definitely works on the CO2 ones.
The foil I’m familiar with already has adhesive on it, so no need to sandwich like they did in the video you posted.
The thing to be extra careful of is that the foil you get is laser safe. Much of it is designed for things like cricuts and has vinyl in it. When you burn vinyl you get chlorine gas that eats the laser parts.