When you're using an AVS or ThermoQuad, the only way to overcarburete it is to not know how to set up your carb. ThermoQuads came only in three sizes: HugeByLarge, HolyShit, and YouGottaBeShittinMe (800, 850, and 1,000CFM). Yet they run perfectly on either a 273 or 440 with just an air-door adjustment. It's almost impossible to overcarb with an AFB as well since it also has a secondary air door, but that archaic design is non-adjustable. That's one of the multitude of reasons literally every manufacturer bailed on it in '67. The only reason Chrysler kept them on the Street Hemi was cost. They were already losing money on each one they built anyhow, so they refused to spend any more money on an induction system that almost worked. Half the guys just liked having dual quads, and the other half swapped out to something better anyhow (like a large single carb).
Having ridden in 68R/T's Coronet sedan, I can testify that it runs very well and doesn't dump black smoke under hard acceleration. The engine only takes what it needs, which means it's not feeding from the secondaries all that much.