sometimes, but they mostly get put on a transporter like any new car. If it’s something valid able (claaaic car, race car, etc) they’ll usually sprint for an enclosed hauler, which is am several times more expensive
This is the actual problem, because transporter trucks are almost always just used to bring a group of vehicles to a dealership from a rail depot.
The ones carrying cars across the country for moves are quite rare, unscheduled, and harder to find. They also can't carry anything else besides cars on the transporters - you might almost have better luck driving your car into the back of a box semi and letting them load other LTL loads behind it.
