The issues of traditional access and unlimited access are very often confused. I see the very similar things with gathering rights for indigenous Pacific islanders. Toss in the issue of the technology usedj to harvest the resources, and now you have a discussion.
Fishing with a single hand braided coconut fiber line and a carved bone hook does not equal the fishing poweer of a 300yd monofilament gillnet.
Unlimited access with the most modern technology does not work as a model for conservation, for anything; fish, deer, fowl, trees.