I remember going to games at Memorial Stadium (I member!!) and there would be the referee in the green jacket who would come out on the field during media timeouts. I would call him "Evil TV Referee" because that meant there would be an extended media timeout.
Sill exists - except he's got an orange vest instead of green. He's on the visitor sideline at about the 20 yard line on the south end. During media timeouts, he'll come out on the field and the Back Judge will go stand by him. When he gives the go-ahead, the ref runs back into position and off we go.