61-4-306. Exemptions from fees. The fees provided for driveaway or towaway transporters do not apply to:

(1) motor vehicles regularly used in the hauling of motor vehicles by the truckaway method or to the motor vehicles being hauled;

(2) motor vehicles operated under dealers' licenses or plates;

(3) motor vehicles registerable under any other provisions of law;

(4) any person not issued a driveaway or towaway permit.