Everytime a Public Event Starts in the area where you can fish, the fishing area disappears and doesn't come back immediately. Most of the time, I have to go to transmat to the Tower, come back and try to get an instance where it's available. Please, Bungie, I beg of you, let me fish in peace!!!
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The public event should take place around the fishing spot. You shouldn’t take damage while fishing, unless you stop and engage in the event.