The equivalent deflection ratio exists on the airbus apparently, the AP can command +/- 3 degrees of rudder deflection at high speed to +/- 30 degrees at low speed. When actuated any deviation from the track is compensated with opposing elevator and aileron but AP aileron authority is limited and under the fault conditions the craft cannot maintain track, manual control is required.
At first it seems surprising that the AP can command a rudder deflection that would defeat lateral navigation, but if you consider normal operation would be to compensate for weathercock due to high winds not compensation for a software anomaly.