I think a string thru design would tend to have the "warmer", pluckier tone...and that the vibrato style would tend to have the more bouncy but steely tone.
I think that shimming the neck, so that the action has to be raised, increases the string angle behind the bridge saddles (between where the string comes out of the top of the bridge baseplate and the back edge of the individual string saddles ) and that seems to deepen and improve the tone of my Fender guitars.
So, "properly" set-up, a vibrato equipped Strat might actually sustain better and have a deeper tone than a string through body or "standard fixed bridge" Strat or Tele guitar that's not "properly" set up.
I think that a refret with bigger frets will usually deepen and improve the tone too. I don't know why. Maybe for the same reason a Les Paul sounds deeper than an SG: more mass. In this case, more mass being added by the bigger, heavier frets.
So I guess I'm saying that all other things being equal: "I think a string thru design would tend to have the "warmer", pluckier tone...and that the vibrato style would tend to have the more bouncy but steely tone."
But that my Strats with vibratos and with medium jumbo frets and the proper string angle behind the saddles sustain better and sound deeper than most fixed bridge Strats and Teles.
And the body and neck wood have a big influence on tone too.
Lew