First, here's a link to the
American Airlines webpage about travel with wheelchairs.
And, 2nd, some pictures and personal experiences.
My DD has CP and can't walk. She also can't sit well in any wheelchair except her own.
She stays in her wheelchair until we board (the one she travels with is a manual wheelchair, but it would work generally the same if we took her power chair).
The wheelchair is taken to the gate right to the door of the plane.
This is a picture of an aisle chair. The chairs from different airlines may look a little different, but the basic design is the same. An aisle cahir is basically a very narrow wheelchair that can fit down the aisle of the airplane.
The wheelchair and aisle chair are parked tight next to each other, brakes locked and belts unfastened.
The airline staff do a 2 person lift, with one person taking the top half and the other person the legs and they lift DD the short distance from her wheelchair (at the front of the picture) to the aisle chair in the background. Straps are fastened to keep the arms and legs in place and the aisle chair is rolled into the plane.
The process is repeated in reverse to leave the plane.
My DD gets her wheelchair delivered to the arrival gate when we leave the plane - it is brought right to the door of the plane.
Some people who can ride in an airport wheelchair may choose to get their wheelchair delivered to the baggage claim area. Just make sure the baggage claim tag for your wheelchair is marked for the correct place before you board the plane.
All the airline staff we have had contact with while using aisle chairs have been knowledgable and professional. DD has felt safe and secure while using the aisle chairs.
I would expect that the people staffing the WishlLight would be quite familiar with dealing with people using wheelchairs because I expect a lot of their passengers would have wheelchairs.