Yes, at the end of the day it takes troops to take, and hold ground. All other military arms, air or naval, are ultimately in support of this aim - which is why we cut back the number of troops at our peril, especially as we spend increasing amounts of time on 'policing' type actions!.
However, to win a ground war you need air superiority, as Rommel could have told you. Look at the WWII example of the Falaise (spelling?) gap. During the ground campaign in France, which saw some excellent tactics employed by the US Army, the Germans were unable to move by day, and had large numbers of their ground forces destroyed by Allied Air Power. That lesson has not yet been forgotten, and we would do so at our peril!!