The tail did come off an Airbus as a result of the pilots applying full rudder deflection, the aircraft was yawed then quickly the rudder was reversed which overloaded the vertical stab beyond design limits due to the side load of the airflow and the force applied by the rudder acting together. This problem is not isolated to Airbus, Boeing issued a bulletin to all operators outlining the design load capacity of the rudder and tail and pointed out that this rudder reversal technique can overstress Boeing aircraft too.
In the case of a engine failure due to fuel exhaustion there is not a lot of difference between and Airbus and a Boeing. In a Boeing 767, the RAT will deploy which gives enough (but not full) hydraulic pressure to the flight controls operated by the centre hydraulic system (there are 3, Left, Centre and Right). There are no electrics from the RAT so the electrical system goes into standby power from the main battery only.
In an A320/A330 etc... (I haven't flown one but just of off the phone to a friend who does) the rudder on an Airbus is always in direct law and an Airbus can be sideslipped just as well as a Boeing. In the case of a dual engine failure the RAT would supply hydraulics and electrics and the aircraft would be in direct law so there would be no flight envelope protection.
On a wider note, the notion that a Boeing is better than Airbus because you can "fly" the Boeing is rubbish. Many Boeings have been mishandled and crashed as a result of being overstreed, overspeed, stalled etc... which would have been prevented in an Airbus. On the Husdon river landing, the Captain had started the APU before losing all electrics which gave him back all his protections and he landed in normal law. This allowed him to simply flare into full back stick and let the computers maintain wings level and max alpha.
In the case of a dual engine failure, an A330 glides a lot better than a 767 too