Earlier quoted context omitted.
Whose vehicle though? I think you should look legally at the distinction between ownership and use. Do you need to register your friends vehicles if you drive them for a weekend and trigger an in-state registration requirement (i.e. California as one of the comments mentioned) Can't logically be true right?
When it comes to paying tax, ownership/use/residency is up for examination by tax authorities. They will make a determination based on their evidence and if you don't like it you can take it to tax court and you all can show a judge your evidence.
When you don't owe tax, you don't pay it. When you owe it, you pay it. However don't cloud up the space and confuse people by saying you owe tax for property you don't own because someone feels that you are evading tax. That's not actually lawful or law based justice, that's hate/fear and prejudice based simply to prove a point. For example here, that privacy is not allowed and that you should be afraid for not taking ownership of things you use such as vehicles.
In cases where you use things you don't own, the law is usually pretty clearly articulated: pay use tax for what you use, pay registration and sales/registration taxes for things you own. Tax authorities know this and will articulate it clearly usually, except I suppose in certain prejudiced and discriminatory cases like when privacy is concerned like vehicle registration by LLCs. Now do you need to take ownership of things you use in a state just so you can hypothetically pay a tax for an evasion accusation that you don't apply to, I would be incredibly surprised to see if any state actually is saying this - I don't think its constitutionally or legally sound in any way. Instead, what I see, is fear mongering, authoritarian language and discourse and simply as I originally stated in my post Ad Hominem and logically fallacy based communication.