If you're resorting to arguing the semantic meaning of Free Market, then it is definitively "an economic system in which prices are determined by unrestricted competition between privately owned businesses."
With natural resources, the free market is certainly an unrestricted first-come first-serve market. Fishing quotas are restricted competition and price influential, which makes it not a free market, despite your attempts to redefine it as such to fit a narrative.
If you're resorting to arguing the semantic meaning of Free Market, then it is definitively "an economic system in which prices are determined by unrestricted competition between privately owned businesses."
With natural resources, the free market is certainly an unrestricted first-come first-serve market. Fishing quotas are restricted competition and price influential, which makes it not a free market, despite your attempts to redefine it as such to fit a narrative.