It won't be cached on the Internet Archive because the site is hidden behind a signup link and DRMed to your printer. The company will go after third party developers with legal threats like all closed hardware companies.
Companies that want to do so, already embed "ring home" mechanisms in their apps that periodically connect to the Internet and check that you still hold a valid license or refuse to continue working.
It seems this depends a lot more on the company policy rather than specific technology used for the implementation.
