Can ailerons control a broken cable on 1/3 flaps?

[Learjetter]

I'll buy that at higher airspeeds. At lower airspeed, or when the outboard portion of the wing is nearing stall, like in the round-out or flare, the aileron would not have control authority to counteract the flap. Likely reasons why you normally fly control-issue approaches at higher airspeeds.