I don't know if anyone has postulated a theorem like this yet, but if not please allow me to plant the seed:

Given enough time and money, all multinational corporations will eventually attempt to bring home automation to the consumer market, either directly, or in a partnership with a technology company.

The Shell Home Genie is the latest entrant in the race, with starter kits just under $900 and monthly-access at around $25. Professional installation is required.