I don't know if these terms still stand, but growing up, non-mayo vinegar-based coleslaws were always called "health salad".
And I have to admit that since moving down to Virginia I have become extremely fond of what they call "southern-style" coleslaw, which is mayo-based & does have some vinegar in it, but all the ingredients are very finely chopped - almost ground. It's wonderful for topping Sloppy Joe & other pulled barbecue type sandwiches.