A perspective from the north pacific on fisheries, counsels, voting rights, etc - The whole thing is a many sided tug of war. Ultimatly Fisheries are very complicated.
Green Peace & Environmentalists would like us to reduce our use of capture fisheries or abandon the practice altogether. (Even though capture fisheries produce protein without damaging biodiversity, unlike farms. also less greenhouse impact.)
Financial stakeholders usually are perceived as wanting to let everyone fish a ton, but not actually always the case. Markets have perversely rewarded extreme overfish and extreme under fishing before because less supply = higher prices. Why catch 10x the fish when you can just raise prices 10x?
Independent fishers and little guys would like less regulation because quota systems, fisheries counsels, etc consistently screw the small guy in favor of larger corporations gaining more control of the industry. These systems grant certain families exclusive rights to 'gold mines that keep refilling', but makes it prohibitive for someone not in the industry to every buy a boat and try at it.
People trying to manage food output like this regulation and quota systems because it's impossible to regulate and manage fisheries when everyone is allowed to do it, it's a lot easier to manage with just a few companies.
The biggest problem we have now with fisheries in the developed world (if your #1 priority is to feed the world without disrupting ecosystems) is that we are underfishing in the pacific, and in europe. Although current systems with mostly financial steak holders and environmentalists in charge are not ideal, I can't think of any realistic structure change that doesn't just lead to additional under fishing, as any new groups would have an increase of people interested in conservation for the sake of conservation, and there doesn't seem to be any way to get people interested in feeding the world in the door.