PMFJI, but why would the Navy want AEW and a helicopter based one at that?
AWAC that can keep up with the jets and exercise aircraft control is surely the primary mission. Warning the fleet of an approaching enemy air attack must be lower on the priority list.
If air attack in today's world is likely then the answer is stand further out and use the longer legs of F35C plus tanker etc to extend the reach. If surprise attack is deemed a risk how many AEW helos would be needed to cover the attack sectors for 24 hrs?