I have a Note 2 with Android 4.1.1 plus updates. I really like the built-in email client and I use it with my Gmail account as an exchange service. Even push mail works great with it.
However, I am subscribed to several folders. Whenever I am getting an email to one of the subscribed folders I have a notification. The problem is that when several emails arrive in different folders the notification preview always shows the first 2-3 mails from INBOX, even when the mails are in other folders. I would like to set this to "Gmail/AllMail" so that I can see in the notification preview the newly received mail.