Be it Cold Start or any other mode of conducting operations, there is no doubt that there has to be coordination amongst those operating on the battlefield.
As the brain cannot operate independent of the feet if a person is to move in a set direction, neither can the components in the battlefield operate independent of each other. There has to be synchronisation and all must operate in concert to a set plan, of course, with inbuilt flexibility to respond to a particular situation.
The classical air battle is to initially carry out counter air operations wherein it attempts to seize the mastery of the airspace over the total campaign space. It has to also carry out strategic tasks to degrade the enemy’s war machinery. This is a major input in any campaign. Hence, till this is achieved, the air force's complete attention and assets are diverted towards this end and very little air power is allotted for the ground operations.
From the ground warfare perspective, the initial strike is where maximum gains can be achieved since the adversaries are yet to ‘find their feet’. Cold Start is a step in this direction. If the ground elements are to seize territory in the initial stages and put the enemy on the defensive, the strike must have power behind the punch. If, at this stage, there is not much of air power in support of the ground strike, it will be a diluted effort with diluted results. Once the enemy has stopped the assault and stabilised, it will then do a countervailing operation and try to regain lost ground and even seize some of its own.
Thus, air power is essential in strength in the initial days to ensure that the ground operations are successful and of consequence.
What are the air requirements of the ground forces?
Close air support.
Interdiction – so as to isolate the immediate battle area as also debilitate enemy’s armour, artillery and infantry reserve.
Tactical airlift to switch forces to seize ‘windows of opportunity’.
Who should provide this is a moot question. Ideally, it should be under a centralised command and which should have trained together as one during peace so that coordination and response is mutually compatible.