While it all depended on the mood of the CSA and Captain at SWA, you will find it to be much harder if not impossible to jumpseat if you do not have an agreement with us. Reason? We have switched to a new computer system called CS2. The old jumpseat forms are no longer used and the only way to issue a jumpseat pass, is by inputting your info into CS2. It will only issue either a "Cabin Only" or "Flightdeck Jumpseat" boarding card to the carriers that have agreements with us that are in the computer. If you do not have an agreement with us, there is no way to override the system to print out a boarding card if you do not have an agreement.
However, not all the stations are using CS2. Last I heard, we are using it in 58 of our citys. No harm in trying, but it will get much harder.
Sorry