Our AF dropped the rear end about the same. We only have lower overloads. Our RAW is about 6600 unloaded.
The right side was about 6 inches and the left about 5. I added Air rides, which, with about 50 lbs right and 40 lbs left, levels it side to side and puts the loaded height about 2 inches below unloaded with the overloads just touching.
If we put too much air, it starts to feel very top heavy. So I only put what it takes to push the headlights back down.
I then added a rear sway bar which gave it a steady feel on the curves.
I considered stable loads, but took advise from several of the guys on RV.net and it's really working well for our rig.
You can always add them later if the air bags don't do what you want them to.