Maybe a way to 'cloak' household appliances that don't need access via the router.
Put them in a small Faraday cage and connect them to an isolated, filtered, and grounded power supply.
A pet peeve of mine is mixed metaphors, and I apologize if I am wrong; Isn't it the 800 pound gorilla in the room that people pretend doesn't exist
No matter how hard you try to ignore the presence of the 800 pound gorilla in the room, it is impossible to do. Especially in a small room!
and the white elephant that is rare but not necessarily valuable? I hope I don't catch flack over this…
Close but not quite. White Elephants are not necessarily rare, just unwanted and tough to get rid of. See the definition and derivation of White Elephant
here.