I remember reading an article that this is how they interview for product managers? Not for engineers, but product managers are people who maybe need to deal with more craziness.
I admit I am not familiar with the interviewing process for the non-engineering sides of the org, but I'd still find this very unlikely and weird. We are very very strict in our meeting and timing policies as our meeting rooms are usually packed with people all the time so we really need to be in and out at the given time. It's counter-intuitive that somebody would delay a meeting on purpose...
