I'd have to say no. Going to get very technical here...
Southwest was able to keep fares low, due to them constantly hedging their fuel costs by buying up oil futures. Most, if not all of their futures have since expired, so they are currently paying current rates for fuel, with no futures profits to offset the cost. With fuel being so expensive, it makes no sense to lock anymore futures, and just wait it out. Southwest was the best with this game and this was one of the reasons for their fares being so low. We're just lucky that Southwest hasn't added on a fuel surcharge like so many of the larger carriers have.