Help Identify TOM bridge type to order a Callaham?

[Superlizard]

The impact with top wrapping is to achieve the same intonation, the tension needed over the now longer effective length is less: to use a guitarist's term, it is slinkier.

This is true.  My old LP Custom (TOM bridge) - I started wrapping the strings on top of the tailpiece and I could feel a noticeable
difference in the tautness of the strings.  In this case, slinkier as you say; less taut than the standard method of stringing up on a TOM.

 

[Steve_Karl]

An other thing with the TOM stop tail piece.
Raising it out of the body will change the dynamic character and also feel of the strings.
It's very subtle but I've found it to be true for every LP I've owned.
All the way down = the most sustain the thickest tone and the smoothest transition between initial attack and what comes after.
Raise it up and the tone gets a bit more transparent, slightly more "pop" when picking ... more of a difference between the initial transient
of the picked note and everything that comes after. ( think ADSR in a synth )