Interesting weights. Surprised to see that the AT is heavier than the ax308mc and that the ax338mc is really only about 1/2lb heavier than the short actions. This is with a bigger action, bigger barrel and tenon, bigger mag and in this example a 1" longer barrel.
I suspect if you didn't use the front NV mounting rail of the AT you'd lose at least 0.5+ lbs. The higher canted rail for the optic is likely heavier than the old style AW 0 MOA rail. So I'm thinking if you strip off what can be stripped off the AT it will probably be slightly heavier than the older AW (to include new barrel change feature). But of course this is all guessing. The AT will have the foregrip material which may make it heavier than the AX's barrel shroud. But the AT will have the spigot built in for the bipod whereas with the AX you'll have to put on mounting plates so you need to add those to the configured weight.
In my spreadsheet I have the following weights for the components for reference. I don't have access to an AX so can't comment on the weights of that rifle:
Core AW Components:
AIAW Folding Chassis w/skins, trigger, bolt, scope rail, (no barrel, rings or scope attached) = 135 ozs./ 8.4 lbs.
AI Thumbhole Skins (old style) = 23.9 ozs. / 1.5 lbs
AIAW Magazine (each) = 5.5 ozs.
AIAW Bolt = 16 ozs. / 1.0 lbs.
Barrel Components:
AI 26" UK .308 Barrel Threaded w/o Brake = 60.5 ozs/ 3.8 lbs.
AI 20" UK .308 Barrel Threaded w/o Brake = 58.0 ozs./ 3.6 lbs.
AI 26" UK .308 Barrel cut to 20" (Estimated) = 46.6 ozs./ 2.9lbs.
AINA 26" Bartlein .260 Threaded w/o Brake = 77 ozs. / 4.8 lbs.*
AI Single Chamber Muzzle Brake = 5.1 ozs.
* The Bartlein .260 barrel is a heavier and appears to have a different profile than the UK .308 version barrel. I don't know if the Bartlein .308 barrels share the same profile as the .260 barrels. If they do, then I'd get the UK barrel if you want to save weight.
Other Components:
AI Parker Hale Style Bipod: 24.8 ozs. / 1.6 lbs.
AI Sling w/HK Hooks: 6.3 ozs.