A raised floor in a restaurant would be very hard to keep clean. One dinner with my 2 year old grandson and you can see why. They don't call him Hurricane Charlie for nothing. We see him as living proof that the earth is not flat. If it were, Charlie would have knocked everything off the edge.
However, imagine returns built into walls beneath the booths and such. The air comes from the ceiling (filtered of course) and proceeds in a general downward path to many returns along the walls, under raised booths or other imaginative places. I'm thinking of a restaurant around us where all the booths are raised a bit. I don't know why they did it but that raised floor under the booths would make a dandy plenum.