"The Iphone regularly updates e-mail, even while it's off, so that all the messages will be available when the user turns it on." - this is the dumbest thing I've ever heard.
The only possible explaination is that they must be referring to the Lock button on top of the phone that does: you guessed it, LOCK the phone - not turn in off. Durrrrrrrrrrrrrrrrr

Thanks for sharing and keep posting more new information.
Regards,
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