Boots on the ground allow you to consolidate and hold gains
made by air power.
I have to disagree... Show me any conflict, anywhere, that has been won purely on the back of "air power"!
Air power allows the "boots on the ground" the freedom of mobility, superior firepower and the ability to react quickly to a changing battlefield to supress and overcome the enemy. It does not win battles, hold positions or take ground.
I believe you have succumbed to the notion that the "sky gods" win wars. They don't... They allow the "ground grunts" to do it more easily - nothing more.