I often travel with a man who has to keep changing his appearance so that he can play blackjack, since he is a well-known card counter. It hasn't been a problem at the airport. I conclude that the folks at the airport must know to look at your nose, lips, eyes -- things that don't change -- instead of beard, hairpiece, shaved head -- which is easily changed.

We have traveled to England, Germany, the Netherlands, and Kenya, as well as in the U.S. with no worries.