I can see it going the other way:
Robo-booking being used by people who simple put an entry in their own diary - the robot doing the booking and interaction. The human potential client has used minimal resources and because of the ease of use and lack of interaction will not perceive a cost in the making of the booking. I anticipate they'll change, cancel, noshow at a far higher rate than in-person bookers.
Bookings made might then both block other customers and potentially increase the cost to the supplier of administrating the booking [particularly with a micro-business where the supplier end is an actual person].