As a former waiter, I tip extra well. If I encountered this, I'd be tempted not to tip at all except maybe slipping a $10 bill to the runner or the bus boy. And I wouldn't go back to the restaurant.
Pretty much this. I would probably quit a restaurant that did this because on the face of it, it takes away my ability to serve the customer, listen to them, explain, upsell, and generally provide the service they're tipping me for. Why would I expect a good tip if I didn't have that interaction with them?