We used a multimeter to check some of the relays. We tested the load and line points on the relay that connects to "filter pump" and the line points were pushing power but the load points were not. We hooked up the SWG to the line points and the system turned on and appears to be working fine.
Apparently, we didn't notice that every time we'd hook up this SWG and flip the breaker, that the breaker we thought was for the UV system would trip. We didn't notice because the UV seems to have been tripping that breaker for a few years now, and I suppose we thought it was normal.
I dunno, the whole thing is a rat's nest of insanity and there's things hooked to things that have no power, and...whatever. It's hooked up to the line screws and says it's generating chlorine. I don't know if it's actually generating chlorine; cell volts says 25ish, the green "generating" light is on, etc., but I'm not seeing any action in the cell (even at MAX power) and we have about fifteen "return" jets in our pool with the in-floor cleaning system, etc., so any bubbles I might see are being distributed pretty broadly.