On the Brasilia in LAX, we vacated the south side, and taxied into T8 one fine evening without talking to anyone but the ramp tower. Ground got ahold of us just as we were turning in - "Buzzsaw 5155, Los Angeles Ground, taxi to the gate, thanks, good day."
We figured it was better to do that, than stop in the face of a 767-300ER and wait for the (somewhat obvious) instruction. And they were too busy untangling a standoff between Air China, China Eastern, and American down at the other end of the airport.
In fact, the only time that I've heard ORD read someone a phone number was when an Airline Canada Lite/Express/Whatever They Are Now stopped between the inner and the outer...