I see how you are confused.
You are thinking when it says US Airways, that means the former company. In reality, the only thing regarding the former US Airways is they previously were the owners of the operating certificate that LCC bought when AWA bought US Airways in a reverse acquisition, forming LCC.
As a result AWHC and AWA are now wholly owned subsidiaries of LCC.
You quote is all post merger when US Airways means LCC.
Try finding any article, SEC filing etc. that actually talks about the structure of the merger and you will find that AWA bought the former US Airways. Nothing to be ashamed about Luv..... the West is even willing to go to a neutral third party arbitrator to let you make your case regarding the seniority list you should have been stapled to the bottom of....oh, wait,,,,we already did that and the east got a screaming good deal.