Even tethered to an external power pack, this could really benefit supply movement. With the proper grappler appendages, one dude and a generator could offload a LOT of heavy supplies without assistance even in hot or otherwise adverse weather conditions. That's a big deal. Replacing a 12 man work gang with a couple guys (or even small women... it won't matter) wearing these suits could make a big difference in many situations.
The biggest limitation I see is one of pure mechanical leverage. I don't care how strong the exoskeleton is, you still have to have a stable base to lift stuff from otherwise you tip over. But for repeated movement of small/heavy items like those ammo cans and other items where you have to lift from almost directly below such as missile loading, this may be perfect.