To be certain, the police can lie to you all they want when questioning/interrogating you. That's long been settled, in the SCOTUS ruling of Frazier v Cupp, 394 U.S. 731 (1969).
What I find most interesting about this? They guy was/is? teaching law at Regent, which is the most conservative law school in the country by most accounts. (It's the "rebranded" law school formerly of Oral Roberts Univ. run by Pat Robertson.) When even the ultra-right is recognizing the issues/problems for even innocent people interacting with the police, that says a lot to me.