A couple thoughts. Whether its hidden or not does not answer the real question. If they ask the question, do you admit what they ask or assume they will never find out. As been noted several times in this thread, maybe they can maybe they can't, (find out), are you willing to take the chance they won't find out??
Issue two. Why would you limit yourself to only Sky West?? I mean you are already (by your own admission) in a defensive spot, why not shoot for any and all who might hire you. What is your "plan B" if Sky West doesn't bite??