Would a continuing British Empire need about 147 Island- and Castle-class OPVs or sloops?
Short answerThat scale is plausible only across the whole empire, and the ships would probably follow a different imperial design rather than the historical Island and Castle classes.
NotesThe proposed force includes 32 Island-class and 115 Castle-class patrol vessels, a total that looks excessive for Britain alone. Across a continuing British Empire, a fleet of roughly 147 OPVs or sloops becomes more plausible because many territories would contribute requirements and ships. The historical Island and Castle classes still do not fit the scenario well. An empire that retained the sloop mission would probably develop a different common design around global presence and fisheries protection.