A motorhome, regardless of classification, towing another vehicle will need a camping permit for the motor home and will also receive vehicle permit to use either on the motor home or the towed vehicle.
Read this as a freebee for the towed vehicle.
And, yes, I've asked this question to the folks at CPW. The regs aren't written in the easiest to understand language. Best thing to do is call Cherry Creek to verify. If they tell you something different, call the main office in Denver.
If you are towing a TT/5er/etc, then you need to pay for the camping permit and the daily fee for a vehicle.