Absolutely they need to be checked out. There’s no telling how many older RVs that look like that one in the Middle TN area. And even then, we’re assuming it was someone local. If they could ever get the VIN number or somehow pull the license plate off a picture, it would sure help.
OTOH it could have been recently sold, loaned or stolen. CBS was irresponsible in letting out a name without approval of LEO. It could actually mess up their investigation.