Whilst absolutely true in steady windspeeds there is a caveat you have to remember an aircraft has inertia, the heavier it is and the faster it is travelling the greater the inertia, this evidenced in Gusty conditions when you will notice your ASI Fluctuating as your aircraft doesnt immediately adjust itself to its trimmed speed.
This is also applicable to an aircraft turning sharply in high windspeeds, there will be a lag in the aircraft re-assuming its trimmed speed, the lag being in proportion to the aircrafts inertia
In Reality with our low inertia aircraft at relatively low speeds this is not a major consideration, but the effect does exist.