...failure of the carb to cut off air/fuel flow<hr></blockquote>
Well...in all actuality...it is the same thing. When emissions dictated that carbs go lean, this saw the introduction of the idle kick-up solenoids. The fuel mixture ratio was so lean that it led to bad idle and stumbling on tip-in. They raised the curb idle to remedy this. But it caused run-on due to the throttle plates not being able to close properly and fuel mixture still being drawn into the hot combustion chambers.
You can most certainly enrichen the fuel mixture/advance timing to correct the problem. But what if the initial ignition advance causes pre-ignition on load or hard starting? What if the idle circuit enrichment causes excessive exhaust fumes and fouling of the plugs? Remember the early days (70's) of the first emission systems?
If he does these adjustments and they cause more problems than they cure, the idle solenoid will allow the idle to be set where desired with the engine in whatever state of tune desired. Once the ignition voltage is removed, it will allow the throttle plates to slam shut, eliminating the problem.
Now, he could also be experiencing throttle plate/linkage bind, not allowing the throttle plates to close entirely also.
Aggravating
S.O.B. ain't I?