Dang! I just screwed myself out of the opportunity to spend a lot of money!This is not a good idea. How in the world are you going to justify getting a new PQ meter if you use such a simple procedure?!
Intermittent bad connection? If you don't have Ideal's 65-165 circuit tester you can test this circuit by putting a 10 A load on it, but with the tester or without you need to estimate the wire length back to the panel.It seems to stop when other lights on that circuit are turned on.
By multiwire circuit, you mean a shared neutral? I would check the loads on the other side of the shared neutral, to see if some heavy load combined with a loose neutral somewhere is causing a voltage shift in the neutral. Of course, the other side of the multiwire hot IS on the opposite side of the 240v.....?