Yes, but the smaller the space you give them with the towel the faster they will learn to stay on it. If you have an x pen or a bunch of chairs, barricade the towel off with things so that they have really no choice but to stay on the towel. Then gradually move them away until the dog knows to stay on the towel. Another thing you can do is get a crate or kennel and feed in there, put your towel down for feedings, then remove. Or have a dedicated raw kennel LOL
That said, we live in Northern Idaho with short haired, whimpy Danes....they don't even care about the cold when its DINNER DINNER time LOL! That said, I don't monitor them much anymore while they're eating but it doesn't take them long to eat either, few minutes at most.