In a post SHTF scenario you can reload your old primers.
In the second video the guy uses a star tip screwdriver. I think you'd get much better results using a flat-faced punch that just fits into the primer.
I wouldn't use my press as an anvil! I'd use a flat piece of brass bar or similar.
Instead of cleaning out the soot with a screwdriver I'd use a primer pocket brush for a more efficient clean.
Other than that the principle seems sound for re-using primers in a last ditch scenario.
Somewhere there must be a video that shows you how to make a rudimentary propellant - I know there are some for blackpowder. That'd be OK for bolt and lever action rifles but I'm doubtful it'd be a good idea for semi-autos - especially gas piston mechanisms.