In a round about way, is this not already illegal? If I live in Ohio but I represent myself to my employer that I live in NYC, am I not committing state income

In a round about way, is this not already illegal? If I live in Ohio but I represent myself to my employer that I live in NYC, am I not committing state income tax fraud against Ohio? NYC would probably love this since people who don't live in NYC and don't use its services pay NYC taxes, but Ohio would hate this because the person lives in Ohio and pays no state taxes. EDITED: Also, you could not get a driver's license in Ohio since you have to live there to get one. Forget about registering cars, owning property and paying for anything with a credit card in your own name.