I have always looked at the logo as a 3 Lead x 4 Bight Turks Head doubled, and laid flat. This knot can be tied as a Carrick Bend with the ends followed through. Mechanically identical, it is the method of tying the knot that differntiates it between a Turks Head or Carrick Bend. Seeing as the logo is a graphic representaton of a knot and was not actually tied, perhaps we shouls ask the person or persons who selected it as the logo and ask them what they where trying to represent.
Pat