I did always find the term kiss and fly confusing and weirdly intimate, as if everyone is getting a ride to the airport from a spouse or parent. Definitely a throwback to another era.
ChatGPT tells me it originated at Paris CDG in the 1990s where it was "depose minute" but then also cites LA Times from the 1950s as the first source of the term[1]. I've seen it in Germany as "Kiss und Ride".
So it's not really a regionalism, but I also don't think it's super common.
Which can be bad - I often find it easier to just pay for a few minutes parking on dropoff/pickup.