The Laws of Physics state that the pitch of the note depends on the tension on the string between the bridge & the nut (or the fret where it's stopped down).
And the gauge of the string (obviously).
And the scale length. (Getting like The Spanish Inquisition sketch now).
However, for any given scale length & string gauge, the tension for a certain note will always be the same, no matter how far away or near the end of the string is tethered, therefore string through will not change that.
If you are talking about the transfer of resonance into the body, though, then ther may be something to that.
But in practice, most of us with the facility (I have it on my Cirrus BXP - I've tried both ways & can't tell any difference) can detect very little, if any difference.
G.