UPDATE
Took the passenger side wheel off. When I got a good look in there, the pads are clearly touching the rotor. It's a light enough touch to not inhibit the car to functionally drive, but it's definitely scraping. The inner pad is most obviously against the rotor, but I think the outer one is as well.
I know the rotors look godawful in terms, but they actually look to have loads of life left, so please go easy on me. Neither side of the rotor looks glassy, which I admit I find a bit strange given the fact it's wearing them at all times when in motion. I'd drive the car and ignore it, but I do have some concerns about heat buildup and what it might do to the system in general.
I'm not really sure where to go from here. The car has been sitting since the start of this thread, so the brakes haven't been pumped at all. I would have expected that if there was residual pressure in the lines (by being gummed up somewhere like the master cylinder) that it would have bled out by now and the pads would have released.