"Did Robin Hood use magic?" doesn't prove that Robin Hood, as you envision him didn't use magic, unless you avoid leaving out the specifics that are being questioned.
I would be happy to agree that Robin Hood is not popularly assumed to use magic if you are happy to agree that he is not popularly assumed to be able to split an arrow any time he tries. My case is not that Robin Hood used magic (as you contend), but that IF Robin Hood can split an arrow any time he tries THEN Robin Hood is using magic. And I believe that I have been clear about that.
RC