I've been thinking about your carb and it's issues. How in the hell does soot get into the float bowl?? The only thing that I could come up with is it must at some point been through a fire caused by the primer on the O-200, or maybe even on your C-85 before you blocked the primer at the spider. It must have smouldered for some time to cause that.
The likely culprit causing your lean condition is the float setting must be very very low. Float setting (fuel level) is critical with these carbs and a low fuel level will need much more suction at the nozzle to get the fuel flowing, compared to a correctly set fuel level. You can check this by first shutting off the fuel supply, then remove the bowl drain plug and then install a nipple that you can slide a clear hose over. Tie the hose up so you can see where the fuel level is compared to the bowl parting line...and then turn on the fuel supply. The fuel level should fill up to about 7/16" down from the parting line for a correctly set fuel level.
I'm not 100% certain, but the only differences between most of these carbs are nozzle sizes, idle tubes, and slight changes to the float level.
The 10-4240 is supposed to have a 47-782 nozzle, and the 10-4894 has a 47-799 nozzle....The venturi, idle tube, float level and pretty much everything else is the same between the two carbs.