I recently got access to a Note 3 (it's not mine). I wanted to make S-View Music Controls support it so I went ahead and purchased a Spigen cover (still in shipping) and upgraded the device to KitKat, where apparently, Samsung disabled S-View for non genuine cases.
This module bypasses verification and forces S-View to work on 4.4.2.
I can't test this since I don't have access to the device atm, nor do I have a case, but it's been confirmed working on two devices thus far
Note 3 with KitKat
Source code is here: https://github.com/MohammadAG/Xposed-SViewALLTheCovers
You may not post it on the Play Store, whether for free or not.
If you found this mod useful, consider donating with PayPal.