So here's a maybe-stupid question which I think may apply to this question of battery life vs. signal strength. When you are in a wi-fi area and wake up the screen and unlock the phone, you see that the wi-fi icon isn't initially there but then pops up, seemingly as it connects. Does that mean that, while the phone is asleep, it's not connected to wi-fi (unless you left some stream going), and any passive data usage it does -- iMessage, checking for App Store app updates, etc. -- are actually done over the cellular data network, and not wi-fi?