What is door sticker listing for GVWR ?
When this is still taxable number, in the past I had my F450 registered in CA at its curb weigh and seems that was common procedure, till CA changed the rules and now owner of truck has to declare GCWR and pay adequate weight fee. Just overnight my fee went up by $460
I know in some jurisdiction you can register the truck at its actual capacities, meaning above listed GVW, as long as you have axles for it.
Either way, this is not question the forum can give you legal advise.
You need to call your local DMV