Hi Jared,
just came across your issue because I struggled with the same problem.
I found out that the only way volumetric shadows are calculated in C4D R14 is Shadow Maps (can’t check previous versions). Whatever you choose (Raytraced, Area…) in the end you always get Shadow Maps. So if you switch your lights to Shadow Map and look at the settings, the flickering light has a resolution of 250×250 and the non-flickering light 1000×1000. That’s the settings that are utilized, despite of what you set up in the Area or Raytraced tab.
Cheers,
Chris