Ryan,
The "3-Way Switch", as an electrical 'noun', is like a Dead Icon.
As you hinted, it is "through" and done with.
Per your lead URL, "NecroNomIcon" is the term for these moot issues.
That is the lighter side of a Dead Icon, as good Greek goes.
In Greek, "ikon is nothing more than a neuter adjectival suffix
and has nothing to do with eik?n (image)".
I think there is still some discussion forthcoming.
It has been forty years since my last Greek course,
and I had much rather chat around with my Latino neighbors now.
Greek, on the heavier side, has 47 declensions, impossible to speak,
with verb forms for which there never was, is not now, and never will be an English equivalent.
The
Electrical Upshot of this comment is:
(1) The 1-Way is a non-functional NecroNomIcon.
(2) The 2-Way is a Single Pole Single-Throw.
(3) The 3-Way is a Single-Pole Double-Throw Switch.
(4) The 4-Way is a Double-Pole Reverse-Throw Switch.
(5) The 5-Way is some foolishness up with no electrician should put !