The authors of those videos are not general citizens. They're all airline pilots. Some are off duty jumpseating to/from home. The only exceptions are privately owned airplanes flown in 91/135 ops. SWA operates as a part 121 air carrier offering a scheduled service and according to law, rules, good sense and even astrology...
You need to be employed by an air carrier approved for jumpseat benefits with that particular airline (usually easy if the company you work for reciprocates and allows other pilots to travel either positive space, nonrev or jumpseat)
You've somehow circumnavigated those barriers and I'd like to know how. It would save my customers a boatload if I'm ferrying an airplane for them and they need to buy me a one way fare at the ticket counter. Instead I could just say the magic word, do the secret handshake and voila...jumpseat is mine.