Hey Jon, if it helps, in the 56 red-black should be coming from the door switch and should be bringing power directly from the connector block. I inadvertently switched the red and red-black wires in my initial rewiring job, thus bypassing the door switch!
This is really interesting - the tan wire to the time darn near drove me crazy when I was attempting to get the combo running the first time around when I had NO wiring diagram or a service manual. I could not get power to blasted timer, so my 'Canadian Bojacques' wiring technique took power from the water level control to the timer. Not pretty but it did work!
All that being said, I will second what Phil said about a timer contact staying open.. The contacts supplying power to the timer will 'float' between' two internal switches - in my case the timer had frozen open and the switch hitting the tan wire was not making contact. It's actually still an issue with mine and I'll be attacking that after the holidaze...
Feel free to call me this weekend about this - I could write a book about GE combo issues now, I swear!!