I want to tell you that I have never seen a schematic for a GM circuit board……
But,
My guess (based on 40? 50? years of electronic troubleshooting) is that the resistor is for dropping voltage to the 5vdc? analog voltage regulator. Here is my thought train….. Your photo shows a 470 MFD 63 Volt rated electrolytic capacitor in physical proximity to a high wattage resistor. It is a fairly common design to have a filter cap with the voltage dropping resistor in an analog regulator circuit. Electrolytic caps are notorius for failing under voltage stress near their rating. By near their rating, I mean avoid stressing them over 75% of their rating. i.e., nothing over 45VDC for a 63V rated cap. 54 VDC is way to high a voltage to put across a 63 V cap, in my opinion.
So, if you want to try replacing the resistor, by all means you should try it. I would suggest taking the cap out of circuit, and testing it for failure as well.
Good luck
TTFN,
Dennis