I can't consult my books right now, but I'm certain that most of their destroyers had it. The problem they encountered in the early part of the war was the lack of destroyers for escort work. Small patrol boats were pressed into service, some of them without listening equipment at all. In fact, there are records of convoys sailing with the only escort being a merchant ship with depth-charge rails on the stern.
Later in the war, though: well, we did lose more than a few subs, and they weren't sunk by luck and chance. The Japanese knew what they were doing by mid-war, and they did it quite well.
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“Never do anything you can't take back.”
—Rocky Russo
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