NO WHERE in the above, did Brian say oil burning will produce black smoke... lol
... or the loss of compression pressure and increasing blowby out the crankcase vent screws with the carbs and makes them run rich. Anything that leaks past the intake valves (back out into the intake runner) will get "carbureted" three times: The first time on the way in, then on the way back out due to the leakage, then the next time on the way in again ... Crankcase vent crap contains a lot of already-burned exhaust and not much oxygen in it, and anything that comes out the crankcase vent into the airbox still gets carbureted with fuel; the carbs don't know that the crankcase vent crap doesn't have much oxygen in it and already has some unburned fuel in it.
black smoke is indicative of an oxygen starved burn, like the black puffs and soot you will get from an extremely rich engine; an engine burning oil will not be black, nor white, rather grayish blue.
Black smoke coming out of the tailpipe on a vehicle with a gasoline engine is a sign of a rich fuel mixture (too much fuel, not enough air)