I think the terminology and the fact that Griffey Jr didn't play for the Reds in 1998 is causing confusion. In nordawg's example, both Moyer and Griffey would be twists from the 1999 team, not teammates.
Staying within the confines of reality, nordawg would be able to use either Moyer or Griffey Jr's 1998 season but, since they both played for Seattle in 1998, he would not be able to count both as twists. He could count one as a twist and one as the teammate of that twist, however. Alternately, nordawg could use 1998 for Moyer and another season for Griffey, and then he would be able to count both of them as twists from the 1999 team. In that case, he would need to bring along a teammate for each; one from the 1998 Mariners, and another from whatever team/year he twisted Griffey Jr to.
The teammate of each twisted player must be from the same team and year as the twisted player.