There is no valid reason one carburetor should be adjusted differently from the others. There is likely a problem with the carburetor associated with the sooty spark plug that someone tried to bandaid by turning the air screw out farther than the rest.
Here's a list of things that might cause your problem:
-Main jet o ring damaged, main jet fallen out, drilled too large, wrong one, etc.
-Jet needle clipped in different position than others, wrong profile needle, worn needle, etc.
-Main jet emulsion tube cross drilled holes blocked.
-Main air jet restricted or blocked.
-Float bowl fuel level too high from:
-Leaking float valve.
-over flow tube and or stand pipe blocked.
-Very poor bench sync allowing one carb to be open father than the rest at all throttle positions.
-The slow jet fallen out of position (uncrewed) ? wrong one or buggered.
-Slow air jet blocked.
-And maybe the spark plug IS carbon fouled part of the time.
I think I would drop the float bowl on the affected cylinder and check what I could of main, slow, and float systems.
Tell us what you find.
Cheers,