With this in mind, let's think about the average shift of a human restaurant server. You have to take orders, answer questions about the menu, recognize food orders and which tables they correspond to, transport food from the kitchen to the tables, transport dirty dishes from the tables to the dishwasher, clean up spills and dropped items, answer special requests ("Can you make this pizza without dough?", "My child threw his fork on the floor and needs a new one ..."). And then there are a thousand other small tasks one wouldn't even think about, like lighting candles on a table, recognizing and substituting improperly cleaned dishes and cutlery, or recognizing regulars and chatting with them.
Now that doesn't mean it's impossible to automate a restaurant. In fact, some have done it.
We'll let you judge whether you'd find that experience appealing, or not so much. Either way, it would require lots of planning, huge capital investment and a fundamental alteration of the restaurant experience. And that last concern might be key: What if people don't want to go to a restaurant with 14 specialized robots instead of a human server? What if this fundamentally reduces the value of the experience the restaurant is selling?
In addition, developing these kinds of robots is difficult and expensive, and economic pressures will win out. If you look at the example of food service in the United States, many restaurant servers are paid extremely low cash wages (often something like $2.13 an hour) under the rationalization that they will make up the difference in tips, voluntarily given by the customers. At such a low price, there's not an incredibly strong incentive for restaurants to replace servers with robots, especially the clumsy, dish-smashing early prototypes that will hit the market first.
The question of impending automation in cases like this is ultimately an economic one. It's not always a case of whether it's merely possible to create a robot to do a job, but whether the value minus cost that the robot provides exceeds the value minus cost of the human laborer. It may be in many such cases that the hidden value of human labor lies.