I had a Teraflex long arm suspension on a 2010 JK, and a Teraflex short arm suspension on a 2011 JKU. I now have an AEV suspension on a 2013 JKU. To me the biggest difference is that the AEV suspension is quieter over small square edged bumps, and a little more supple. The AEV suspension uses a little more travel over medium sized bumps, but my AEV suspension is a 3 1/2" lift, and the Teraflex suspensions were 2 1/2" lifts, so I would expect a little more travel before hitting the bump stops.
The Teraflex suspensions are very good, but the AEV suspension is a little better, and quieter. This is for on road use, and mild to moderate off road use. I quit rock crawling a long time ago.
2014 Wrangler Sport: Teraflex/Synergy 3" suspension lift, Fox 2.0 reservoir shocks, Tom Wood 1350 driveshafts, Dynatrac ProRock 60s w/ 4.56 gears and Eaton electric lockers, Warn front locking hubs, Currie Anti-rock front swaybar, Fox ATS, 37" Toyo MTs on 17x8.5 Vision Warlords, Poison Spyder bumpers and rocker guards, Warn M8000s winch, Teraflex tailgate hinge & spare tire carrier, Mopar head liner