Is southwest red terminal for pick up?

That is correct. The area along the driveway where the luggage comes out to be picked up is labeled outside the doorways with the airline in that area. Hust look for the southwest sign. If you are early or the flight is delayed you can use the cell phone lot. Another alternative is to take advantage of the free first hour parking in the short term parking lot. Just park on the red side of the garage and then take the elevator down to the first floor. Both elevators on the red side will take you down to the same area. Then you can greet your arrivals at leisure and nit have to worry about the traffic as much and getting in and out quickly. You can even enjoy a Starbucks coffee if you wish!

Yes, Tampa Airport is thoughtfully designed. Southwest Airlines is in the red zone and as Cliff B. has pointed out, you have many options to ensure that you meet your travellers in comfort. Good luck!

Level 1 arrivals red or blue