Thanks for the further help Doc and PB! First, let me address the below because I forgot to respond to it before:
What do you have at IA on the funky board?
How about OB/OA on the center PC board? (Does turning the trim pot affect these voltages?)
IA on both boards is 278v. OA appears to be where things get interesting on the problem C4S board (with the unlit LED's). This would seem to make sense, because if OA isn't delivering the right voltage to IB, then perhaps the LED's on the B side wouldn't light?
Breaking it down - on the bad board, OA reads 163 - whereas it is 220 on the good C4S board. This same voltage (163) is at terminal 22, on +reg of the B side of the regulator board, and on pin 6 of the B socket. Does this mean my real issue is on the regulator board?
In answer to your other questions - OB and OA on the regulator board both read around 2.0, and the trim pots do affect these voltages on both sides. Also, I double checked the red instruction (bending the trim pot pins), and it looks like I did that correctly. All tubes glow, and I have tried swapping them with no effect. I have also tried a different 12au7 that I know is a good tube.
For further comparison purposes between the C4S boards:
Bad Board Good Board
IA 278 278
OA 163 220
IB 163 220
OB 161 174
Thanks again for your ongoing help!