No it is not the same thing.
The same thing would be if an Ohio driver got a ticket in Michigan, then after paying said ticket received a notice at their home in Ohio from Michigan state, claiming they are an "at risk" driver in Michigan and have to pay an additional "driver's responsibility fee"
New York has been charging income tax to out-of-staters for years. Ask Rush.
I have a friend who had a snowmobile accident 3 years ago in MI. 3 years he had to pay this fee, whether he came back into the state or not.
Kind of like this - Ohio has a law that says vehicles must have a license plate on the front and back of the vehicle. Michigan only gives us one plate for the back. Several years ago I got pulled over in Ohio and was given a ticket for not having a plate on the front of my car. When I argued that I couldn't possibly have a second plate because Michigan didn't issue them, I was told "Too bad - we do"!