Dwiley, A basic dimension for all practical purposes is tolerance-less and has no variability. Though, when establishing a basic dimension a component in practice one does it with simulating equipment which is typically manufactured to tooling tolerances. In other words - bullseye!
Yes, if you use a basic dimension - you need a specific geometric tolerance - in this case a Profile on one side of the formed bend.
Be aware that in all dimensioning and tolerancing standards, ANSI, ISO, BS and ASME limit tolerances are perfect ably acceptable and work quite well on sheet metal applications. Since most sheet metal is semi-rigid (the part moves on installation) I doubt a geometric tolerance is your best choice.