I vote for bad PMD. It's been years, but, IIRC, the ECM only reads the resistor value when you do a TDC offset learn, although there may be some seemingly random set of conditions that causes it as well, but it definitely is not done on any kind of regular basis.
I don't remember if the resistor is isolated from the rest of the PMD circuits, but if it isn't, then a shorted resistor would affect PMD operation.
The Constitution needs to be re-read, not re-written!
If you can't handle Dr. Seuss, how will you handle real life?
Current oil burners: MB GLK250 BlueTEC, John Deere X758
New ride: MB GLS450 - most stately
Gone but not forgotten: '87 F350 7.3, '93 C2500 6.5, '95 K2500 6.5, '06 K2500HD 6.6, '90 MB 350SDL, Kubota 7510