From a former Ameriflight pilot, welcome aboard. You will be welcomed on all SWA flights. For what it is worth, all FOM's and airlines view jumpseaters differently. But, all FOM's are FAA approved documents. So, if it is allowed in the FOM, you are allowed if the Captain will agree to take you, even if there is no reciprocal agreement, as long as there is a cabin seat available. My previous two airlines would in fact accept non reciprocal pilots at Captains discretion as long as there were seats in back. The People commenting here are talking about what their specific airline approves, it does not encompass all airlines policy on the issue.