if you have enough bombers you can fly ground support missions to destroy the org of any opposing troops really quickly, otherwise battles with many divisions involved can take forever. then when the enemy is retrating you switch to ground attack missions to target enemy strenght, or whats left of it. if done right you can destroy vast amounts of enemy strength - it is a big exploit IMO. however, total air dominance was crucial for the western allies and many german troops where hit bad in the march to the front so they could no longer fight.
but if you look at the overall significance of air power in an armed conflict it has not lived up to the high expectations that leaders had when air fleets came of age. so IRL air power is important to win battles on a tactical level but its strategic use is rather limited - it cannot win a war for you by itself.