This doesn't work... Nintendo tried it with the gameboy. The boot rom would extract the nintendo logo from the cartridge and display it on the screen. If it wasn't correct, the game wouldn't run. If it was correct, the theory was that trademark would prevent 3rd party games. But the judge ruled it was being used as a functional access control device and not as a trademark, so 3rd parties could include the nintendo logo in their games.
LV uses pure trademark law; it's not functional. That's why their protection stands.