There's no journey, they give you their name and proceed to take your drink orders.
No need to be condescending here, he even prefixed it with "in America," and what he said is absolute fact. If you aren't waited on in the first 15 minutes, in America, you aren't in a good restaurant.
It's normally something like "Hi, my name is Kybernetikos, I'll be your server today. If you have any questions just let me know. I'll bring out some water and take your drink order."
It's something you typically ignore until it's not there.
I'm not here to be taken on a 'journey' by the server, I'm here to eat good food and enjoy the company that came with me.
A good server is one you barely notice.