Lin,
the photo from the technical manual in your first post shows the cable with the
male connector from the center cluster instrument with the rheostat. Your second photo shows the cable from the main harness with a
female connector.
Al Lieffring's bypass described in PagodaNotes and in the Technical Manual concerns only the
male connector which needs to be modified by adding a jumper wire. You do NOT change the wiring on the female connector as you had in mind. It also should be easier connecting two single wires than one triple-wire and a single wire.
You wrote "... it did not have wire color codes on the wiring lines ..". Have you downloaded the colored wiring diagram from the technical manual? See:
http://www.sl113.org/wiki/Restricted/ColorWiringDiagrams.
These diagrams show the wire colors and the wire thickness, but the color symbols are in German and you need to look at the translation table that is part of a different file (
http://www.sl113.org/wiki/Electrical/WiringDiagram).
Lastly are you really sure that the rheostat is burned? Most of the times some fine granular dirt is wedged between the resistance wire and the contact wiper that prevents contact. A good flush with an electronic contact cleaner goes along way to restore its function.
Measure the resistance across that wire first before starting to bypass it.