Although we havn't flown SW with our
ECV, we have flown Delta on several occasions.
If your ECV can fit upright through the cargo door, AND the batteries are dry cell batteries, you should be able to gate check the ECV.
You drive it to the gate, the handlers will take the ECV and put it in the hold of the plane. If you can walk on the plane, then do so, if not they will put you on the plane in the special aisle wheelchair.
When you arrive at your destination, your ECV will be returned to you right at the gate.
Our experience is with the small 50 or 35 passenger commuter jets, and we have had no troubles with gate checking the ECV. It has fit through the cargo door each time.
I believe SW uses the larger 6 across 737?? jets, and those are much larger, so you should have no difficulties gate checking your
ECVs with SW.
If you have to change planes, I would build in at least a two-hour layover, to ensure you have time to get your ECV, drive it to the next gate, then have them reload it.
We try if at all possible to get a direct flight with the ECV.
Carol