Captain
Final Approach
And it's also for ONE deflection of a control surface.
I'm not sure this is accurate. Im pretty sure the aftermath of AA 587 was that Va applied only to the elevator and specifically didn't apply to the rudder. At a Va speed or below who cares how many times you go full back to full forward? Every time the loads are such that you wont over stress the plane.
The lesson I recall was its never safe to wildly kick the rudder full left to full right back and forth as that was never a design limitation of the rudder and is NOT protected by Va. only the elevator is protected by Va.
Btw, AA587 had the entire vertical stabiliser (rudder and all) separate from the plane due to the pilot kicking full travel of the rudder back and forth with flaps deployed (obviously well below Va).
I don't remember the lesson being ONE full travel. I think you can yank the elevator all you want and the ailerons and rudder (especially the rudder) need to be treated with respect...even at or below Va.