Spitfire Hurricane V the BF109e

[Jon]

At the risk of causing a heated debate what are your thoughts on the question below.

During the Battle of Britain we are constantly informed that Hurricane and Spitfire variants used in the battle could, when all things were equal out turn the BF 109e every time. Then.. last year i saw a documentary that said the BF109e could on paper out turn both RAF types and, the only reason they did not was the Luftwaffe pilots fear of breaking the wings off in super tight turns.
I have talked with several Battle of Britain RAF pilots and they all said that their aircraft could out turn the others, but i agree that if i spoke to a Luftwaffe veteran he would probably say the complete opposite to the RAF veterans.
Yes i know a lot was down to the pilot and each aircraft flew slightly better or worse than the next on the production line but, with all things equal speed , height etc... could the 109e really if pushed, out turn the Spitfire and Hurricane.
I still feel the Spitfire had the edge and even the Hurricane could manage it..!! do you agree ?