=== Remarks on "Some remarks" === 

 I read the technical stuff you wrote just now- some of it is not right. You do NOT get that everything is bosonic by rotating the correlation function- you get exactly spin/statistics independent of whether you use "P1" or "P2". The operator "R" is not what you think it is. It's just a polarization rotation matrix. It could be neither unitary nor antiunitary, because it acts on fields, not on states. It is a very simple polarization rotation matrix, not an operator acting on the Hilbert space of field states. 

 This is why I don't talk about the Minksowski stuff at all. I don't want to talk about anti-unitary or unitary business, which is completely avoidable if you stay in Euclidean space. It becomes all that in Minkowski space, but that is not necessary for understanding spin/statistics. The argument is simple: if you have the correlation function "Rphi phi", then just by rotation it equals -" phi R phi" for half integer spin. 

 I am well aware that Streater and Whitman use the operator "lambda" which does a full parity reversal on all spatial dimensions, but I don't like it. It doesn't generalize to even number of space dimensions, and secondly it does a second rotation in the y-z plane which is completely irrelevant for the argument. The only possible relevance is to ensure that the proper polarization operator is positive definite, but they don't discuss this point in there, as far as I remember.