That's the definition of "maneuvering speed" you find in aerodynamics books, and probably the original intent of Va, but the FAA now does not include that requirement in the regulations. They provide a different V speed for that purpose: Vo:
§ 23.1507 Operating maneuvering speed.
The maximum operating maneuvering speed, VO, must be established as an operating limitation. VO is a selected speed that is not greater than VS times the square root of n established in § 23.335(c).
Va, on the other hand, is defined thusly:
(c) Design maneuvering speed VA. For VA, the following applies:
(1) VA may not be less than VS * sqrt(n) where -
(i) VS is a computed stalling speed with flaps retracted at the design weight, normally based on the maximum airplane normal force coefficients, C(na); and
(ii) n is the limit maneuvering load factor used in design
Notice the difference? Vo can't be greater than the speed that will prevent the load factor from being exceeded, but Va can't be less than that speed, meaning that it can be greater, much greater. If it is, then the load factor limit can be easily exceeded. The only thing that restricts manufacturers from actually creating these high Va speeds is that the control surfaces must be certified to handle the flight loads created from full or abrupt deflections at these speeds.
In practice, many manufacturers will establish Va = Vo, so the distinction is moot, but not all manufacturers will do that.