In fact they are not if we at it in a mirror light reflection way.
C4 is the middle note of the piano keyboard.
If we draw 5 lines for clef G, leave one line below it and then draw 5 lines for clef F we know that middle C4 is written by drawing a small line segment between both clefs. [Hall]
If we assume this to be sea reference level and imaging a bird at position C5, it's reflection would be on the second line of clef F exactly where C3 is.
This came about by discussing the apparent discrepancy of position of given note names on the 2 clefs with Vicky,
Reference:
Musical Acoustics - last printed page of book - Donald Hall
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