the Gloster 3rd block, started in july 1940 and ended in august 1941, was of 1700 Hurricane of that 1250 were Hurri I and 450 Hurri II. for me it's strange that they started to built Hurri II and after back to Hurri I...
i just checked from the other side, the squadrons, the first squadron that get Hurri II was the 605th in november 1940 (they used also I until december), was followed from others 5 squadron in february '41.
Back in the production side probably we have a limited mixed (hurri I&II) production (maybe conversion) in the gloster from the fall 1940 but not true mass production until '41