Thrust is only adjusted to control the speed. We don't as a matter of course, reduce speed in areas of turbulence. The turbulence speed, is basically the normal cruise speed anyway. The available speed margin is often very narrow, both in terms of going faster or slower. If the aircraft gets a bit too fast, it's easily corrected with power, or speed brake if necessary. But, if it gets too slow, only a few knots below min drag (Airbus green dot), you will not have sufficient power to accelerate again, and the deceleration will continue. The only solution then is to descend...which is bad.
So, within areas of turbulence, you may notice power changes, but they will generally be in both directions, and the aircraft often hit max power in these areas.