The picture is of a sala in a new Jiao Hon restaurant we tried last night. I have no issue with dogs on outside tables, no worse than the rodents and the reptiles that use the same space. No problem in this house because I have no outside table and the dogs are too small to jump up higher than the sofa.
Anyway, I do have a bit of a problem with dogs on restaurant tables. As did the restauranteur, who got the dog running as soon as she saw it. I got the pic just in time, slots nicely into this thread.
As to the paper under the table legs, I have no idea. My best guess would be that it has something to do with stopping the table from slipping about.
Let's try the pic again, from the laptop this time: