SKW Inc is about dollars and cents, from what I've seen so far at this company I don't think they'd furlough from one airline rather than another because of favoritism.

Two reasons ASA furloughed and SkyWest didn't:
1. Furloughing a large portion of our Brasilia pilot group, training CRJ FOs on the Bro, then reversing the entire process at the end of the winter would be incredibly expensive. If we were an all jet fleet like ASA, I doubt very much if we'd have avoided furloughing. Basically, it would cost roughly twice as much to furlough a SKW pilot than it would an ASA pilot.
2. Considering SKW flies a different mix of United/Delta/Midwest (at the time) the actual block hour reduction was different and probably more dynamic than ASA's so they may have had reason to stay more flexible.

No matter how you cut it, each airline faces different challenges and if the day comes that they are actually pitting us against each other, a la the Trans States vs. GoJets United 700 debacle, then I imagine we'll rally to change it.