There really wasn't that much performance difference between early models of Spifrire and Hurricane, but I don't think that sheer turning performance alone had that much to do with it.
Historically, in the early months of the BoB, the Hurricanes took on the bombers, as the airframe was more robust, it was a very stable gun platform, it could take more punishment and keep flying and the simple fact was that more Hurricanes were in service than Spitfires at that time.
Spitfires also tended to take on the fighter escorts more than the bombers, as Spitfires were considered the more agile fighter. The fighter escorts were also fewer than the bombers, so the odds were more evenly matched between the ME 109 and the Spitfire.
WW2 veteran Pilot interviews that I have watched about the Spitfire have commented that the ailerons were very heavy when compared to the Hurricane's, so there are other factors such as the brute strength of the pilot to consider. Heavy ailerons might make you think that turning rates would be slower as a result
In short, there is no right answer to this question, as there are so many factors at work.