A year or ten down the line, the base is a smart device on a household LAN, controlled by something somewhere else. Could be wired, could be wireless.
Not as far fetched as it sounds.
With the address space in IPv6, disposable ballpoint pens could be emailing you that they're out of ink, and offering you coupons from the manufacturer. And your toilet paper roll will count out x number of revolutions which will tell it that the paper is almost all used up. Lord only knows what the kids cereal boxes will do.
(Sorry, the three seashells won't be common until the 2030's at least...)
So something semi-durable like a lamp having WiFi and some intelligence is not at all unreasonable.
Actually, I noticed that the home-improvement mega-center (Menards, semi-local upper Midwest chain) now carries all-in-one integrated LED wireless wall sconces. Presumably for people unable, or unwilling to pay for electrical service to be run.
I can't imagine they offer much light, or if they do, battery life is abysmal, but it's already a start.
IMO, the next big public health problem/scare will be headaches, and possible neurological concerns from cheaper LED light sources that use PWM for "dimming" rather than actual resistance and current limiting.