Yes, no email notification in idrive.
I got an sms the other day and the icon was there when I looked at the screen. No gong or audible notification for sms. When I saw the sms it was about 10 minutes after it had arrived. I don't know how soon it got pushed into the idrive. I had the music blazing hence the reason I didn't here the notification on the iphone.
E92 M3 2007 - ///PE with Test Pipes and BPM Stage II; CF Interior & Splitters; CIC with Connected Drive