This is cut and pasted from the SWA application site:

"**PIC for this purpose is defined as Captain/Aircraft Commander of record, not simply the sole manipulator of the controls. For military personnel, Southwest Airlines will allow flight time logged as "Pilot in Command" (PIC) only if you are the Captain/Aircraft Commander, Evaluator, or Instructor Pilot. Primary time will only be considered PIC on a specific aircraft after an individual upgrades to Aircraft Commander n the appropriate aircraft. Time logged as "Other Time" will not be considered."

Because SWA only has categories for PIC, SIC, and IP any student time does not get counted. It's likely there are others but I've got so many apps in I'm not going to double check every single one.