With trucks they confuse you with "towing capacity" as being the weight of the trailer, but also they have a weight rating for the truck's towing receiver. In some cases, the truck could pull more than the "bumper" receiver is rated for.
With the Class C at 7,500 probably the receiver can do more than that, but check its rating too.
Watch out for their other trick, which is to use a truck with a high GCWR, and then use their lightest weight truck to get the most trailer weight so they can brag about that. You have to weigh your own truck (much heavier) to know what "your" towing capacity really is out of "your" GCWR.
If they used an unloaded Class C instead of one ready to go camping loaded to the max, then you might get the same thing happening.
The "tongue weight" of the trailer on the hitch at the back bumper becomes a greater weight on the back tires with the leverage. So watch for that too, because it is your weight rating for them that counts as well. Trucks have a little drawing and show how to do that calculation for a snowplow up front adding to the weight on the front tires. You can do the same math for the back.
1. 1991 Oakland 28DB Class C
on Ford E350-460-7.5 Gas EFI
Photo in Profile
2. 1991 Bighorn 9.5ft Truck Camper on 2003 Chev 2500HD 6.0 Gas
See Profile for Electronic set-ups for 1. and 2.