If you have to use any interpretation of PIC other than "I was the designated pilot who was/is, current/qualified, solely responsible and Signed for the aircraft, then you are probably outside of the bounds of SWA's PIC definition.
When I tried to get on at SWA I had only part 91 PIC time. I was a corporate co-Captain who swapped legs and swapped seats. I logged all time as PIC accordance with the advice of an FAA inspector. No one ever "signed" for the aircraft. Just the fact that no one signed for the aircraft caused me trouble. I counted only my left seat time as PIC for SWA application purposes, but having logged it all gave the appearance of impropriety. I don't know that the question of PIC was the sole reason I was not selected, I know that I was minimally qualified, low time, and had only an associates degree, but my inside friends confirmed later that it had had a negative effect.
Take it from someone who probably blew his best chance at his dream job. DO NOT take the chance of even the appearance of misleading flight time. You are better off waiting an extra two years to interview, than you are to be forced to wait two years because you failed the first time.
regards,
enigma