I’ve had an ABS sensor go bad before, which caused the vehicle to be almost impossible to bring to a complete stop with the brake pedal; I had to pull the parking brake and skid to a stop, then had it towed for repair. I can envision something similar with automatic braking.
If the ABS systems fails, the vehicle returns to a dynamic system just like all cars use to be prior to ABS. Should not have caused any problems for you.