I think Pan worked diagonally with OZ inhabitants or they with him–somehow someone used someone else basically. Whether it was Pan stealing away agents of the Home Office or what, but maybe there is a missing link.
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“If I had a world of my own, everything would be nonsense. Nothing would be what it is, because everything would be what it isn't. And contrary wise, what is, it wouldn't be. And what it wouldn't be, it would. You see?” -- Lewis Carroll, Alice's Adventures in Wonderland & Through the Looking-Glass