None at all. I have been accessing my Google Apps accounts via IMAP on both my iMac and my MBP. I've also got my iPhone that I've been using too...but no problems with any of them showing a counter, and shortly after reading the mail on one device it will clear the unread badge from the others. The only weirdness that I have really had has been the occasional blue dot not clearing unless I scroll down to the bottom of the message and back up.
1/24/14 at 7:52am