You do know you can autorotate with or without a working tail rotor right?
Very true except the levels of controllability will be different - there is a certain amount of drag within the drivetrain and auxiliary systems (HYD pumps, cooling fans, sometimes generators or alternators etc ) that are driven that will induce the cab to catch up with the main rotor. Also noticeable when you flare to prior to touchdown. Without a TR it will be a bit messy.