An argument started on these boards not long ago over someone having in their profile that they fly ERJs for Continental AirLines. The problem is that those who do not know much about aviation and the airlines, which is most people, don't realize when they step on an ExpressJet airplane or an ASA airplane, etc., that it is not a Continental airplane or a Delta airplane. Most passengers assume it is a Continental or Delta airplane, just one of the smaller ones they have.
My point being; sometimes it is just easier for a pilot to simply say to someone I fly for Continental, or, I fly for Delta, or whatever airline it may be. Technically one does fly for Continental or Delta, because they does operate jets for them, but they are not employed by them. We all know the difference, but most do not, and it only confuses people who don't know, to try to explain the airlines to them. I am not in a position yet to have to explain to someone what airline I fly for, but I do know I have a hard time explaining to people, such as my parents, etc., why Delta flights always connect through Atlanta, and why we just can't have straight flights to where ever we want to go. If someone just isn't aviation and airline knowledgable, they just don't understand.
So why did I go off on all of that? I think it was to say that maybe this pilot was trying to simplify who he flies for, for someone he thought may not be airline knowledgable. Or, maybe he does fly a G4 for Comair. Maybe a stupid question, but do airlines have corporate flight departments, or if a CEO has to travel, do they use the airlines regular planes?