Sloop and destroyer officers shared a small-ship command culture

Would putting a destroyer-style commander in a sloop have been unusual?

Not especially; sloop and destroyer officers shared a small-ship career path, and many anti-submarine specialists crossed between the commands.

Sloop and destroyer commanders came from much the same small-ship professional culture. Sloop commands often employed anti-submarine specialists who later moved into destroyers. That career crossover carried escort experience into more heavily armed flotillas rather than isolating it in one vessel type. A later aside describes the required mindset as exceptionally aggressive, which helps explain the close-attack ideas raised in the preceding surface-raider discussion.