Personally, I never saw the draw of putting the AHC system statically in H. The beauty of the AHC system is to have ideal height and suspension geometry for the use at hand. Sure, a mild sensor adjustment for mild lift and/or rake, but not static H.
While I can't confirm specifically on the LX570 platform, adjusting the sensors should do the trick a la LX470. Though you'll want to be conservative with this adjustment, as when you do want to run H, that the system does not peg the suspension out without any droop left, as that would make H less useful.
Given the advantages (and I do mean advantages) of AHC being able to dynamically run various heights, I would take a different approach than the static suspension guys. Get your lift elsewhere! Run a tall tire, like a 33-35, as this platform easily handles it. Run a mild body lift, .5" - 1". This will give you the same visual lift that you might be looking for.
This kind of lift will be way more functional than the static 2" lift guys. The 2" lift guys only really have 2" unloaded, with maaaaybe 1" packed for a trip. AHC is constant height even with load, which means real lift, when needed. On the order of 5"+ when pairing 35s and 1" body lift, combined with AHC lift.
I would bet that a rig with 35s at an optimal near factory suspension height, would run rings around handling wise, a rig with 32's and static 2" lift. That's because when lifted, the handling is just down right sloppy with ill suspension angles, caster, roll-steer, etc. You might have tried this yourself by driving aggressively in the parking lot while in H.
