I will agree with you on the possible structure relating to multiple pedants, however I have to argue the case on the use of Pedants Corner as a name. As far as I am aware there has not been sufficient time for this name to have fallen into common usage, and I am sure that it has not been registered as a place name with the Post Office. Therefore I am compelled to conclude that the capitalisation of the P and C was merely a stylistic use for the title and not an indication of the usage of "Pedants Corner" as a place name.
So there.
Lou