We currently us an Outlook Rule to move emails to the Copy to CRM folder for processing, then they get kicked back to the Inbox.
This makes it so a user doesn't have to remember when they should put something in the Copy to CRM folder to be sync'd.
What I have noticed is that internal emails often get moved immediately to the Inbox, but the sweep Connect does of the Copy to CRM folder doesn't always move internal emails back to the Inbox.
I'll open a support ticket, but I wonder how others deal with Connect and the use of the Copy to CRM folder.