That scenario you described where the ball can be cut in either pocket would certainly require the player to call their pocket. Same for any bank shot even if it's a dead in bank. Just for clarification and certainly in a hill/hill game situation, the pocket should always be called, even if it's just a gesture with the tip of your cue stick to the intended pocket - common sense!
I disagree on your definitions of “obvious” and “common sense”. Perhaps your strict interpretations of very debatable terms is why you seem to always come on here with controversial scenarios.
Edited to add: my scenario didn’t include a sharp cut, bank, or carom. Do you understand yet that the rule is silly and prone to arguments?
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