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Pretty much, if the engine is not running, the alternator is not charging the battery. If the battery is being drained by accessories, then, yes, it will go dead if not recharged. The starter will DEFINITELY put a big drain on the battery, and it takes more than a minute or two to recharge the battery from what the starter drained.
On a side note, are you sure your transmission is safe to engine off coast with? Engine on coasting with it in neutral should be much easier because you wouldn't have to stop/start the engine with the ignition.
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