Not 100% but I think the issue with moving apps and game data to the SD card lies with android. I remember something about when ICS came out and now Jelly Bean, you can't do it anymore. Something about how it uses the SD card as a certain type if memory which disables that feature (which was a nice feature in older versions of android).
So CM probably would not help either because it is still based on AOSP. I don't think the problem is Touchwiz based.
Again, not sure.
What I am sure of is that I love the GL to SD app that was posted. It works great and is easy to use. Highly recommend it.