In older homes the heat source in the kitchen was often placed on an inside wall because it was easier. Today we place the heat source primarily on the outside wall under or near the windows or doors. By not providing heat near the sink in some older homes you often ended up with problems. The original cabinets often had louvers in the doors under the sink to allow room air in. Over the years the cabinets were changed and the new cabinets had solid doors. Often the pipes froze while the family was  away and the house temperature was turned down, making the sink area that much colder. My advice is to add heat or allow room heat to get in under the sink another way.