It does work like that in some states. New York state registration fees range from $26 per 2yr to $140 per 2yr depending on weight: https://dmv.ny.gov/registration/registration-fees-use-taxes-...

Despite being a pretty big difference percentage-wise (the heaviest vehicles pay more than 5x the lightest vehicles!), not sure it’s enough of a difference in absolute dollars to really influence purchasing decisions though.