One time we tried very hard to be there in time for a taxi, only to get delays in Hong Kong, and blocking in a few minutes past.
Like a bunch of children, some got whiny about it, much like the post above.
This is after you stick you neck out to to make it in early...
After this happened, and the arrival time is close, I tell them there is no chance we make it on time, so there is no expectation of it.