If a single spinal nerve is cut, the area of tactile loss is always greater than the area of loss of painful sensations, because

Receptor field overlapping is lowest for temperature. Tactile receptor fields overlap higher than temperature. Highest overlapping is for pain. Temperature < Touch < Pain. So the inverse will be true for loss of sensation. Loss of sensation highest in Temperature since it has no overlapping.  And the loss of sensation will be lowest for pain.