i would stick to 'passing midfielder' name because primarily that is what they do. Their main function is not to do creative passes first but to offer themselves as option for passes and in turn pass it to another option. Their passes usually goes sideways than forward like lubricants in the engine to maintain the smooth momentum of the play.

the key of their play is to always maintain 2 option on what to do with the ball at all time and disciplined to pass the ball before the 2 option are closed down. To do creative passes would be the 3rd option.

saying that, player with the technique and vision of Xavi Hernandes do reach the third option level more than most...

before the days of xavi and fabregas, these type of midfielders are very tricky to put into most conservative managers formation. The always want a definitive defensive midfielder or attacking midfielder. Now the game is changing and all attacking midfielders are pushed up front or out wide and their place is filled with passing midfielders.