the technologies and tactics overlap. A Helo or Gyro or Blimp or kite could provide aerial reconnaissance
in daylight at greater distances than a mast head look out could. At night they would be almost worthless. Radar, while not 100%, extends a bit the search horizon over visual, works in worse weather and at night. Early radar could add several tons of top weight to a destroyer. Placing even a light Helo on an upper deck position adds a few tons of top weight. Which is the more useful addition?
Space for Helo's, even small ones on a WW II Destroyer is severely limited.
The lines between the Fore mast and the main mast are the long range radio antenna/s. leaves pretty much the space aft of the mast. Land the "X" gun mount for the helo?
The helicopter wasn't really a workable system until 1944/45. Better radars, better radios, newer aerial systems, the acknowledgement that if the enemy got within torpedo range of the defending destroyers things had really gone to pot all contributed to changes in the destroyers mission/s and armament mix.
A modern US Arleigh Burke class destroyer can carry TWO Seahawk Helicopters but they weigh 3-4 times what a large WW II destroyer did, they are larger than some WW II light cruisers.
The Gyrodyne QH-50 DASH was able to fit on a WW II Destroyer but required the loss of several quad 40mm Bofors guns or two (?) twin 3in AA mounts.
Gyrodyne QH-50 DASH - Wikipedia, the free encyclopedia
WW II helos could be useful on ships, the question is are they going to be as useful as whatever is you have to take off to fit them in?
WW II helos could be useful on land, the question is just how many missions can they do that can't be done as well or cheaper by another type of aircraft. For some missions only a helicopter will do. Artillery spotting isn't one of them.