SUCCESS!! Sort of...
Just wanted to report back that I was easily able to order a couple of SC194B's from DigiKey, and soldering in a new one brought the unit back to life!! Sort of...
It turned on and all the status LED's lit up (all amber), but it didn't do much after that. I once had the status LED's flash RED, which apparently means "firmware upgrade failure" (and apparently is recoverable), but I could not reproduce this. I also noted that the CPU seemed to be rather hot.
Further investigation showed an SC198A burning up at 100C (again, the thermal camera comes in very useful). The "A" output was 1.24V, well within range. But the "B" output was 3.67V, not within the maximum output voltage of 3.3V. Given the control voltages of:
CTLB0 = 0.0V
CTLB1 = 0.0V
CTLB2 = 0.0V
The "B" output should actually be (per the data sheet) 1.8V.
My guess is that someone over-voltaged the input to this camera and fried both the SC194B and SC198A, which are fed directly from this input. I'm hoping that it's still worth repairing, as it's now possible that the over-voltage from the 198A which feeds directly into the core, has permanently damaged it.
In other bad news, nobody stocks the SC198A. So I might be out of luck on this repair now.