Sorry I took so long to reply-- a ton of shit happened all at once, and I just now found the time to open up my scope.
The switch is on mains; it's a nice clunkin' power switch as Dave would say. It looked like it'd be easy to open up and adjust the contacts. Turns out that the actuator broke

I superglued it for now, until I can get a new switch in.
The contacts are open when the actuator is out, so I'm not sure if that's NO or NC? The head where the cap fits is 3mm^2 by 8mm long. It's kind of hard to see the markings, but I think the model number is PS5? It's rated for 8A/250V
Anyone have any ideas?