Yes and I have a good friend that has a 1952 Chevy 7200. He lied about the weight also. But be warned CHP is checking trucks that are questionable.
The CHP officer in Chico CA, told me they are on the look out for vehicles that do not have "CA" numbers posted on the side of the trucks, new and old alike. She has a list of vehicle GVWRs by make and model going back to 1941.
Also, your GVW is on the door post serial plate. It is not a moving violation, but it is a fix it ticket to correct the registration.
Regular CHP officers in Squad cars a not the problem, it is the officers driving the Black & White pickups with portable scales.
They are the Commercial enforcement officers.
They know the differences in vehicle classification.
She told me it is a $1200.00 ticket for the first citation.
My next door neighbors just quit driving a big rig as a married team with their own truck. To many regulations, to much money for fees, and not fun anymore.
My fees were $487.00.
I do not know who your insurance carrier is, but mine knew the difference when I called to add the truck to my existing truck insurance.
You can go to your local DMV and get a commercial hand book or down load it from the DMV web site... or you can just ignore it and hope it just goes away. You never have a problem.
But my philosophy is; "If it can happen, It will happen" ...chaos theory and KARMA play a hand too.