I'd say for my two, yes the game invention never ends. I don't know about a gifted trait, but I've observed that their friends that are gifted jump right in without missing a beat. DD8 is very astute about who can "roll"(sorry Dottie's DS, I just can't help myself!) with these games and who can't and proceeds accordingly. DD5 hasn't been as able to pick up on the social cues yet and tries to engage everyone in these games, so it's really noticable when a child just stands there with a blank look on their face. blush
DD5 has always been more extreme in her creativity and drive to create these games than DD8. Not sure if it's temperment or what. But often if DD5 has to choose between playing with a child who doesn't participate in her elaborate game inventing processes, she chooses to simply play by herself as if the child isn't even there. This I hope she outgrows a little.
And it's not just that they play imaginative games, most little girls play teacher/pupil at some point. It's the extreme way they develop the roles and the extent to which they carry them out. I've snuck up on them and eavesdropped when DD8 is the teacher. She scares me! I wouldn't want to be a student in her classroom!