Currently I finally - way too late - noticed that still in iOS 6, the Apple Mail app is not sending me push notifications - or any notifications for that matter - for any of my e-mail accounts except the first one, which happens to be my GMail account.
The other ones (of 6 total) are: Another GMail account, a Nate(.com) & Daum(.net) account and two domain names I bought (one via GoogleApps, the other not).
My settings are: Push and "Fetch every 15 minutes", with Fetch activated for all email accounts named above.
So as I get no notifications (and thus today missed an important e-mail in the afternoon, even though I kept an eye on my phone), I wonder how to troubleshoot this?
Finally I wonder why "push" is still not a reality? I mean in all my settings there is no "push" option, for whatever of the above accounts I use. Is "push" only possible when you have a Blackberry or Sharepoint or sth. ?