Even though you do not press the gas peddle, the ECM automatically richens the mixture to restart the engine. Most ECM have a lookup table that looks up the coolant temp and air temp to come up with an increased pulse width to richen it up for starting. There is also an afterstart enrichment and a decay setting to control how long the enrichment lasts. Direct injected cars would need the least amount of startup and afterstart enrichment. It's not much, but I don't think it's worth shutting off unless you're going to sit more than 3 or 4 minutes.
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