You are mostly correct. I think you did go wrong in the following statement.
An oversized carb throttled back to the same size choke area of a properly sized carb CANNOT achieve these seemingly opposite requirement
While this does reduce fuel draw, it is not correct to say that the carb CAN NOT overcome this. Some carbs clearly can, some for example are not oversized enough to overcome this. Some have more muffler pressure than others or larger capacity needles. For example that condition exists at idle yet the fuel draw at idle is greater which helps to overcome the lower muffler pressure at idle.