The differences are which tractor model they are suited for.
Yes they all have different lift capabilities.
But they could also have different mounting/ option capabilities.
LA524 = L3800
LA525 = L2501
LA765 = L4701
LA805 = L4060
(This is only an example they do fit other models)
Pick the tractor first then you'll know what loader to pick, it's not like you can really get different loaders for the models.
You don't put a loader for a L6060 on and L2501, it just doesn't work.