The 'open iTunes when device is connected' is a glitch. iPads are supposed to only wifi sync when plugged itno power, but they don't. They will sync any time and repeatedly if iTunes is open. Also if you have iTunes set to 'open when device is connected' and have your iPad within range of your home network (you know, like AT home 😉 ) it will 'reach out' every hour or a couple of times an hour or something to sync. And when the iPad reaches out it will open iTunes...quite frustrating when you're doing something else and iTunes keeps popping up)
I'm operating under the presumption that it's a glitch and the cure it to alter your iTunes setting to turn off that 'let the device open iTunes' option so you can at least control when it syncs'.
This repeated 'reaching out' may also be part of the battery drain issue since, while my iPad should be asleep, it's reaching out on a regular basis to sync.
I've personally experienced this, both the iPad opening iTunes for me, and the iPad not needing to be on AC power to wirelessly sync.