I am running Stack Exchange iOS App Version 1.2.2 on iOS 8.1.2.
This morning I checked the iOS app and saw the following:
As you can see, there's no red popup with a number on the notification tray. When I touched the notification tray, I saw the following:
That shows a comment from 36 minutes ago, which I had never seen before (since it had been longer than 36 minutes since I had previously checked SE). So it should have showed a red popup with a "1" on the notification tray, but it didn't. In fact, I have never seen a red popup on the notification tray in the iOS app.