Not quite correct. But the fish are certainly Federal. This is from DFO’s site.
British Columbia
A Supreme Court of Canada decision in 1984 (the Strait of Georgia Reference) held that, when British Columbia entered Confederation in 1871, the province consisted of all British territories, including dry land, coastal straits and submerged lands. Thus British Columbia owns the waters and submerged lands of the Strait of Juan de Fuca, the Strait of Georgia, Johnstone Strait and Queen Charlotte Strait and the waters and submerged lands between major headlands (bays, estuaries and fjords). This ownership includes natural resources — “the rocks and docks" and the marine resources — “flora and fauna" attached and all subsurface resources. As such, provincial laws apply to activities such as standing on a beach, sailing in a passage, mooring in a bay, building a marina/dock or raising oysters in the same way that those laws apply to activities on land.