Ooh good point! Whatever kind of light bulb it is, it will (through inductance, thermal mass or fluorescence) continue to glow (which I’m counting as being “on”) for at least 1/60th of a second after losing AC power. So I’d say it will be glowing quite a lot at the 2 minute mark even if the switch components are forming their own singularity right nearby.

You'll have to get a planck switch and a single electron bulb... problem is it may or may not exist at any given moment, especially where you want it.