Yep, this was one problem. I had never checked the battery since I bought this about three years ago, because it looked new. But the battery was in *backwards*! I'm lucky it didn't blow up or something. It didn't solve the problem I was posting about, but thanks for getting me to check something which could have caused a worse problem.
Failing to do what, exactly? Mine is the opposite of your 1.42 symptom, I can't leave it plugged in. I suppose I should do a more general search about MDD PSU repair. Feel free to link any you care to recommend.