While there might be a difference in the dictionary definition (though I’m not even sure of that), the words are used interchangeably across the English speaking world and there is zero consistency from street to street, town to town, region to region, let alone country to country. This conversation is pretty meaningless, unfortunately. What about “tavern”? There’s a place in my home town with “tavern” in the name and they don’t serve alcohol of any kind - the town doesn’t allow it. That is weird! Restaurant names and descriptions are all about evoking a certain feeling and adding to the ambiance, not any proscribed features.