Then how do push notifications work just fine on WiFi-only iOS devices like iPads and iPod Touches? They seem to come through in a timely manner whenever they are triggered, not just whenever you wake/unlock the device yourself (or stop streaming something, like YouTube or music).Well if your cellular data is off then there's no way to tell the WiFi that there's a push notification waiting to come thru. Thus, you miss iMessages, emails etc, until you physically unlock the phone.
And I don't think there's a different behavior for when you're streaming media.
----------
We're talking about iOS 6 here.