My experience is limited to sitting in the copilot seat of a twin engine Baron for some hopping around the east coast (occasionally a P-Baron)...programming an unplanned turn in that case is pretty quick and simple and takes less time than executing the turn manually. Our pilot would usually set the course change into the autopilot for any type of course change (to avoid weather, traffic, or to adhere to ground instruction). I would expect them to program that turn especially if they had their hands full with other things.