I was for IN taking over shorebased maritime attack roles in the past too, but with IAFs modernisations and the increased number of bases in the south and along the coast that are coming, it hardly make sense anymore to be dependent on a few IN fighters.
However, I would integrate them into the maritime attack as well as air defence policies of IAF. If they can protect a CBG against other fighters, why not IN bases or the airspace around us too?
In that case, would the IAF be okay with being given ATO's by the IN?
After all, unless an actual modern warfare doctrine of "local" command be given to the Indian Military and actual IBG's be created whereby the "local" commander decides which assets go where.. such a policy would be difficult to implement.
Bureaucratic red tape may reduce the response times of an IN support request which would have to go through the IN Liason to the IAF HQ then approved from there to the IAF assets.
For eg.. USAF B-52's are equipped with AGM-84s and are tasked directly to the NAVAL COMFOR for that region.
They fly and land at his command and virtually control thousands of miles of sea space.
So the IAF Commander will have to swallow his pride and let a Naval Cmdr designate targets and ATO's for his Jaguars or MKI's etc.