The UPS is new and works as you said. That is what prompted my inquiry.
Before I had this UPS I had the BU drive plugged into my Mac. I got the impression that it was always spinning. Then I think I found that it was spinning even when the computer was shut down. Power was always to the BU drive.
When I got the UPS I plugged the BU drive into the controlled receptacle but was concerned whether having the UPS "pull the plug" on the BU drive instead of shutting it down with the power switch was OK. Was it akin to pulling the plug on a running computer? All sorts of scenarios became possible in my mind. That's why I first asked if connecting the BU drive directly to the Mac, would it automatically shut down when the Mac was shut down. No one would answer.
My latest response (not in this forum) was, buy the Apple AirPort Time Capsule and be done with it. Well, I already have/ had the external HD and a wireless router. Now that my HD is failing, maybe I should look into it. They are expensive though.
My questions largely remain unanswered.