I got no dog in this urinary olympiad but unless you have a bunk on your jet and carry more than 2 pilots you cant say you fly International.
I was going to say something similar. No disrespect to SWA, it's a well run airline. That being said, sorry, if you can reach it in the 737, that's hardly "international" the way most of us think of it. Sure, Mexico is not the US but it's not polar flying either. I flew RJ's to Mexico and the Caribbean 12 years ago. It's not the same flying that I've done at UniCal.