Texas used to, maybe still does. You made me try to look it up and couldn’t find a simple source. Plenty of states use MRSP or some measure of the vehicle’s value.

Back in the day (Tulsa, OK) my friend had a 2-ton dump truck with antique tags (over 25-yo), paid $20. Meanwhile, someone buying a super-light Corvette was paying $650. (early 90s money)

I say go on weight, maybe some factoring of value. Registration fees are paying for roads, if your monster vehicle is doing more damage, you pay more.