I think it's safe to say I have a definitive result. I brought my second SX-980 home last night, which had just been at the shop with the relay cycling. It's kinda funny - I didn't even bother taking it out of the truck, and plugged it in right there in the passenger seat using an extension cord ran from the garage. The relay latched and stayed that way - cool. So I put the receiver on my garage workbench (I'm working on re-siding part of the garage), grabbed some decent speakers and let it play for a good two hours - no problems at all. I'll run it some more through the weekend, just to be sure.
In the mean time, the original receiver will get the Frankenstein protection board replaced with a spare, untouched board. I don't have wire-wrapping tools, and am not sure I'd want to do that, anyway, due to the amount of wire it would use up - and the leads are short-enough as it is. So, I plan to solder the wires onto the protection board pins. I'll solder on the upper end of the pin, so I stay away from the other end that's soldered to the board trace. I've got some forceps I can use as a heat sink, as well. Once that's done, I'll use the DBT, since that seems to remove my funky power issues (for whatever reason), to test the receiver. On Friday, I'll replace the power supply board Q1, Q4 & Q5 per Mark the Fixer's recommendations, re-test it, put it together and take it home for the official power test there.
I'd really like to bring one of the two SX-980s back to the shop and see what can be done about the power issue. I'd like some resolve on this, so if others on AK register the same relay cycling complaint, they can be reliably informed that they might have an incoming power problem. Hopefully that can be pinpointed to the use of an AFCI in the circuit path. I need to find out if AFCIs are being used and if mine can be temporarily (or permanently) changed out to a regular breaker. If that's not possible, I might go as far as purchasing one to try in my breaker box at home. I beilieve Square D is used here - I want to stick with the same brand.
A note on the second SX-980 receiver: I was very surprised on what a low--mileage receiver this seemed to be. No heat marks on the power supply board from the heat-sinked transistors. And, most surprisingly, I was able to remove the three dial lamp sockets, replace the lamps with LEDs, then re-insert the sockets without breaking the plastic tabs on the sockets - pretty rare for these not to be brittle and already broken.