Yes and no. As above some applications from June have been going through, but there are still people like myself waiting since a year ago (or January for me) for form 4 transfers. Whether or not you believe they will continue to randomly process some out of order is up to you. If they are training people some of them appear to be working on newer stuff. But for all we know the next box they grab will be in chronological order and you're back to the current wait times (but hopefully working through the backlog so it's shorter going forward).
Basically, the email seems like a sales pitch that, while technically correct, isn't guaranteed to continue...