Android Jelly Bean 4.2.2 update for Galaxy S3 and Note 2 users is delayed because of some last-minute TouchWiz bugs and Samsung will now take some time to test before releasing the latest updates. There is no confirmation about when the next update is scheduled.
Our only guess is that as this is not a connectivity issue and just a user interface problem, Samsung should provide a quick solution. Hope the Android Jelly Bean 4.2.2 update of your Galaxy S3 and Note 2 will be released quite soon and you do not have to wait more.