I think people [not you, SoBe] get too hung up on positions. Frank will be a guard. Both he and Carey will have the ball in their hands and share playmaking responsibilities. In some lineups, Frank will be the clear lead guard [say, if he's paired with Hughes or Buddy]. In others, he might play off the ball. But neither he nor Carey are "pure" point guards -- they're hybrid scorers / facilitators.
Where I think we might see a better, more effective Frank next season isn't just related to having better scorers / shooters to pass to, but also that his game might be more complimentary with Carey than it is with Battle. Battle doesn't make Frank's job easier -- because while he's an adequate ballhandler, he isn't dynamic taking it to the basket, he isn't a passer, and he isn't a pure shooter. He can DO all of those things, but he isn't taking much pressure off of Frank. Carey would be able to.
With Frank, I think being in a position where he doesn't have to do as "much" because nobody else on the team can is going to go down substantially next year, and make him more efficient / effective. Less will be more, in other words.