Perhaps not due to it being a speed effect (even though water does modify player speed). Still, this is inconsistent.
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discovered while testing
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Confirmed for 21w06a. My guess is intended, but that's not up to me to decide.
Can confirm in 1.16.5.
Can confirm. However the normal FOV setting doesn’t affect the hand and the item that you are holding in your hand, while being underwater does. So this may be intended.