I don't see how that could be possible. I have my Sprinter registered here in NM, I have a TX driver's license, and my Classic Buick has North Dakota Permanent Pioneer Plates. They'd probably look at me all confused, but it is what it is.
The Buick doesn't need updating until ownership transfer (its registered to a PO Box)
The Sprinter (and my truck, trailer, RV, and motorcycle) are registered to my house in New Mexico.
My license has my legal residence on it in Texas, even though I stay in Las Cruces, NM.
I put my life on pause in order to get my degree, and I am only here in NM to attend New Mexico State University. As I am leaving immediately upon graduation, I don't have to transfer residency. This left me with the option for registering my vehicles, and its cheaper here than in TX, as well as not having annual emissions and safety inspections to pay for on top of it. As for the Buick, the ND Pioneer Plate is just their version of a classic/antique car plate and its not to be used as a daily driver. That car has seen probably 2500 miles on its odometer in the past decade-plus. Not exactly a tax-dodging piece of equipment, as it meets the requirements in every state (not daily driven, only to rallies, shows, or the occasional cruise to keep the seals fresh... never to work or school, and its 46 years old, to boot).
On top of that, for nearly my entire Army career, I was licensed in Tennessee and living in other states. The costs determined where I registered my vehicles... when I was in VA and FL, they strictly kept TN plates, but when I was in TX, it was cheaper and easier to register there.