Hello kultsi,
Thanks for posting your interesting question.
The reason why there are different names for the same knot specimen is the same reason why there are so many common names for various fish, trees and plants.
With all animal and plant species, there is the scientific name (Binomial nomenclature / Latin name) - which positively identifies the species.
In the case of hand tied knots, the nearest thing we have to a source of 'scientific names' is the Ashley Book of Knots (ABoK).
Almost (but not quite) every knot is identified in this masterpiece authored by Clifford Ashley (published in 1944).
For example, the 'Cow hitch' can be found at illustration #1673.
And the 'TIB' (tiable-In-the-Bight) version is found at illustration #1859 where Ashley describes it is a 'Ring hitch'.
2) Can hitches (such as cow hitch, camel hitch, or Prusik hitch) ever be used in a way that involves a finishing knot? Or do hitches, by definition, use the looped end of a cord and are open or "unfinished"? I don't know if this question makes any sense...I'm trying to ask if a hitch, like a cow hitch, can be used on itself to secure or tie itself instead of on something else, such as on another cord or on a rail or pole or whatnot.
Struggling a little bit to exactly understand your question...
I suspect you are referring to whether a knot can be tied in different ways - eg without access to a free end... or if it can only be tied by using a free end?
The 'Cow hitch' / 'Ring hitch' is both (it is TIB).
Refer to attached image to get an idea of what 'TIB' means...
3) One of the binding ligatures used in this murder case was described as a "Z noose" with the "standing part pulled through the center of the noose knot, which allowed the pulling together of the wrists". I haven't found any readily available information online about what a "Z noose" is. I have found some information about Z-bends or Zeppelin knots. Does the "Z-noose" sound like it could be derive from Zeppelin knots? Has anyone heard of "Z nooses" before or is this a made up concept?
There are 2 noose knots which spring to mind...both are in 'ABoK'.
#409 'Poachers noose' and #1228 'Jam noose'.
They have the same geometry and yet they appear in 2 different entries in ABoK.
There is also #1120 (Scaffold noose) which is similar but has one extra riding turn.
A noose cinches tight to abut against the host object (think hangmans noose).
A noose would certainly cinch a persons wrists together... but there is also the 'Constrictor hitch' at illustration #1188 (TIB method) and at #1249 (tying with access to an end).
The Constrictor hitch is a very effective 'binder'.
Refer to attached image... again note that Ashley lists this hitch in 2 different places in his book and uses 2 different reference numbers.
They are the same knot species - just tied in different ways (one is via 'TIB' method and the other is with access to one end).
Geoffrey Budworth had experience in knot forensics... and he was one of the original founders of the IGKT.