Admittedly, I don't have a ton of experience with employment tax nexus.
Fact: Client lives in NY. Works from home in NY for a company located in NJ. Client never sets foot in NJ during the year. Company issues a W-2 to client. Total wages are assigned to both NJ and NY. Only NY has state income tax withheld. e.g.
Box 1 wages $50,000
NJ state wages: $50,000
NJ state income tax: $0
NY state wages: $50,000
NY state income tax: $10,000
Client needs to file a NJ return and pay tax on the NJ source wages listed on the W-2? They would then get a state tax credit on the NY return. Correct?