The Hawaii longline fleet is responsible for less than 2% of the bigeye taken in the Pacific. It's a hook-and-line fishery which is indefinitely sustainable. 

To prove it, I'd be willing to bet $1000 that no one can remove all the tilapia from the pond at Ala Moana by just hook and line fishing methods within a year. 

If you've ever eaten sushi, sashimi or poke then that part of the ocean that some want closed is personally important to you.