There is a hot start procedure at my flight school that requires the throttle to be placed half way before turning on the fuel pump, as this apparently allows air to be pumped into the cylinders to even out the ratio of excess fuel already in the system with more air. I don't see how this affects the priming at all because I understand the throttle to simply control the throttle plate, and moving the throttle back and forth without the pistons running wouldn't do anything, since ambient air would be in the system no matter the position of the throttle. Also, the fuel pump shouldn't affect the the amount of air being sucked in by the engine; it should only affect the fuel. Am I correct in my understanding?
For your reference, here is the actual full hot start priming procedure:
Throttle half way, fuel pump 3-5 seconds (mixture in and out in the last second), pump off, throttle a quarter inch in, mixture a third in, crank
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