ShyTorque, I disagree that aileron adverse yaw is a transient thing. You argue that the a/c would continue to yaw until it was flying sideways.
The a/c's stability in yaw is still present & opposing the adverse yaw. The scale of this restoring force is proportional to the amount of yaw. Adverse yaw seems t be proportional to aileron deflection. At some point the two opposing forces will reach some degree of equilibrium (I'm ignoring any other forces or second/third/whatever order effects) and the yawing motion will cease. The a/c would still have some amount of slip present.