Every state I have lived in requires you to register the vehicle in that state:
NC: Within 60 days of establishing a permanent residence in North Carolina, new residents who plan to operate a motor vehicle must get a North Carolina driver license and title and register their vehicles with the N.C. Division of Motor Vehicles.
GA: If you own or lease a vehicle in Georgia, you must register it with the state. [...] New residents should register their vehicle no more than 30 days from the date they move to Georgia.
Top of this thread questions whether there are mandatory safety inspections. There are in most states for most vehicles, including NC, where the author lives and where this vehicle is very likely registered. Due to the age of the vehicle, it is exempt from inspections.
You went off on a tangent saying that you don't have to register a vehicle in the state you're in. You do in NC, as well as other states I'm familiar with.
You're now suggesting ways to evade the registration requirement, which may be illegal. This is in no way a rebuttal to the registration and safety inspection requirements that were being asked about at the top of this thread. Exploiting a loophole - including potentially breaking the law - to avoid a requirement doesn’t get rid of the requirement.
NC: Within 60 days of establishing a permanent residence in North Carolina, new residents who plan to operate a motor vehicle must get a North Carolina driver license and title and register their vehicles with the N.C. Division of Motor Vehicles.
https://www.ncdot.gov/dmv/help/moving/Pages/new-residents.as...
GA: If you own or lease a vehicle in Georgia, you must register it with the state. [...] New residents should register their vehicle no more than 30 days from the date they move to Georgia.
https://georgia.gov/register-vehicle
FL: When you move to Florida and become a resident you have 10 days to register your out of state vehicle.
https://www.dmvflorida.org/vehicles/out-of-state-car-registr...
CA: Once you officially establish residency in California, you will have 20 days to register your vehicle with the DMV to avoid late fees.
https://frontdoor.ucdavis.edu/relocation/car