The bigger hulls had more room for the expansion and development that went on during the war. But there was never enough room, for crew, AA, Radar and electronics and on and on. All Naval designers were faced with resolving numerous competing factors, a situation particularly critical in small ships that had varied required capabilities.
The pre war US ships had, and contributed to the larger fleet, much in the way of development of high pressure/temperature steam plants. As such contributed to the excellent power/weigh and specific fuel consumption that navy's ships enjoyed. Some of those WWII powerplants lived on, for a long time, such as the Iowa class (split in half) units used in the Sacremento AOE's.
However no destroyer ever had really good endurance, a 2000 ton ship with a 50,000 hp plant certainly could not range with a say a 30-35,000 ton ship with only three times power, and a longer hull for more efficent wavemaking. Often the escort role needed you "there" yesterday, 31 knot Burke got his name not by being "fast", but from a communication noting he was only able to make 31 knots due to maintaince factors.
The Japanese and Brit Destroyers did have excellent combat records, certinly a courage and persistance that any tin can sailor could admire. Then there was the French ships, noted for their high speed.
By the time Okinawa rolled around, the Destroyer function was far removed from the imaginations of 1941.
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