I installed the AALs and Icon shocks. I installed the shocks a few weeks before I installed the AAL. I experienced an interesting phenomenon I think I am able to explain. AALs alone should stiffen the ride a bit over stock, vs using blocks. You are increasing the spring rate to achieve the lift, which is also why they claim increased payload(can't confirm this because other factors may be the limiting piece, axles, tires,etc).
I installed the SHOCKS and experienced a much stiffer ride. I was pretty unhappy. I then added the AALs and the ride softened a bit. I think the Icon shocks are overdamped for the stock spring rate, so they were dominating the system. Shocks are designed to bring the system back to equilibrium, springs are designed to absorb impacts. The springs were dominated by the shocks and unable to absorb much impact. After I added the AALs the ride softened up a bit (still presumably stiffer than stock), because by increasing the spring rate, the springs became the dominant in the system, and damping was slightly underdamped(ideal).
TLDR: AALs will ride slightly stiffer than stock, but Theoretically increase payload. Icon shocks are overdamped with stock leaf springs, Add a leafs help bring the system back into equilibrium. I probably would avoid Icons with just blocks.