This is standard for higher-level administrative jobs, like Dean, Provost and President. They're called "Airport Interivews."
You fly in, sit down in a conference room near the airport for an hour or two, then fly home. It's a way to whittle down the pool to figure out who is a good fit, who is serious, and who are nutcases.
I'd much prefer this to a phone interview, even for a faculty job, if it was a job I truly wanted.
If I got to spend several hours on a plane, that's several hours working on a grant or manuscript that I probably otherwise wouldn't have...
Airport interviews are aLso always fully funded. Usually they take place in convenient hubs (NYC/Chicago), so it's convenient for all. Their rarely just 20 minutes. So maybe a conference interview...?