Having more absolutely makes a difference, the Twins can tell TB that they can take thier pick of various combinations of Gordon, Gonsalves, Romero, Kepler, Garver, Polanco, Mejia, Busenitz, Curtis, Gibson, Thorpe, Duffey, Rosario and they can discuss non-40-man players in addition. How many contenders can afford to offer up a full 1/3rd of their roster for negotiation?