Was the compression test done hot or cold? And, did you try a little oil in the cylinders to see if that makes a compression difference?
The numbers given are not alarming.
167 +167 + 154 + 157 =645, 645/4=161.25 Avg compression, 10%=16Lbs 161+/-16 =145 low limit 177 hi limit.
All your numbers are well withing 10% Cylinders and valves are unlikely suspects.
The number 2 spark plug points to and issue with operation of that cylinder different from the rest. But, the compression is good enough that it shouldn't be an issue. I'd guess at this point that there is an issue with carburetion.
Why aren't all the needles in the same position? If all the carbs have the same components, but are adjusted differently, how could you expect all cylinders to fire evenly? I think you need to make them all the same.
Carb sync, afterwards. I'd check the idle screw adjustments for same settings. If those show even vacuum from the cylinders, and you still have issues, then I would suspect a partial blockage in a fuel circuit of #2 carb.
Have you replaced any of the internals of the carbs? Carb kit pieces not stock, that might have different metering characteristics between carbs?
Have you checked for fuel contamination?