I think it would be more accurate to say that the aircraft itself, if left alone, might have easily recovered from the upset while in Alternate Law.
I'm sure that the aircraft has more chance (but slim) of recovering itself than when a stick is being held aft. However, even Airbus are not willing to suggest that it will recover by itself when it is at an alpha way beyond the boundaries of any in flight testing. If I recall correctly there were short periods in the AF447 stall that the stick was pushed forwards and it was suggested that the aircraft displayed an initial recovery response, but the stick did not stay forwards for anything like long enough.