I have not done an airport pickup so I can’t speak to that directly. I have done the Minnie Van airport drop off though. They drop you right at departures for your airline, the same as if someone dropped you off in a private car or you took a taxi.
I believe I’ve read they pick up at baggage claim similar to a town car service, but I’m not sure if the vehicle will be just outside the door, or if you have to walk to parking.