It's locked by the smart cover. Is that why maybe? I.e. it's really awake?
I would turn off 3G wifi notifications but isn't that a bit pedantic to do every time?
How about before prescribing a Genius Bar visit he tells us exactly what he does have running? The guy might have some rogue app that's causing this, or he might receive a thousand notifications an hour. We just don't know enough yet.