The motion would stand up if it was specific. “No use of fishing equipment that has fish hooks attached, or any other method, including spear guns, that might present a potential physical danger to the residents and guests using the pool” would do the trick. That way you are reducing the risk, not banning the behaviour.
Of course, your angler’s arguments are spurious and ridiculous. Swimming backstroke naked would be banned for all too obvious reasons. It’s not about the behaviour, it’s the effect on other residents in a communal space.