Marking all emails as read in Airmail in OS X does not remove the badge or notifications from the iOS app. Sync should be near instant.
I see this is planned for a future version, is there an update on when that will be?
Also sync the following: If I remove or move a mail within gmail (or another client) the badge on my iPhone should update.
Thats like the most important thing. I cant believe Airmail doesnt have it