Key thing to note is that V_A says nothing about cyclic application of controls - If you swing the rudder from stop to stop with abandon, even below V_A, don't be surprised if the tail falls off!
Further to that, design requirements actually specify that below Va you can apply full deflection
in one axis only without compromising structural integrity. Pulling the yoke back to the stops while at the same time pushing it left or right to the stops will induce extreme torsional loads on the wing structure and you might not like the final result of such a maneuver.
This applies obviously to utility type aircraft, full aerobatic capable aircraft have different design specifications as there are several aerobatic maneuvers that require you to do exactly that.
Ciao,
Dg800