So... Is the cutaway deeper on the CP and VP compared to the Gibson or not?
To the naked eye it sure looks like the cutaway is deeper - Or at least the lower wing is shifted slightly backwards compared to a Gibson
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To my eyes it appears that the upper bout starts at the 15th fret on both basses, whereas the lower cutaway starts at the 16th fret on the CP and at the 15th on the Gibson.
Also the rear end of the two have different angles with the CP having a more vertical slope to account for the lower wing being shifted more backwards than on the Gibson - That would also account for the bridge appearing to be slightly more forward than on the Gibson.
If you take a close look on the pictures, it seems that bridge is more or less in the same position on the upper wing on both basses, but not on the lower wing.
So at least on my CP the neck seems to be in the same position as on the Gibson - only the lower wing is shifted backwards...