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So, go with lacing cord - and if anyone looks at you funny, point out that you are doing that for the same reason that the military does - and you can look to mil-spec suppliers to find the stuff, last I bothered to look. You certainly won't find anything as versatile from a "one part number in stock will hold down any of a wide range of cores, even if the cores change" point of view.
Allied and Newark both seem to still have it. Here's the general description of the types of Alpha Wire cord available at Allied:
I laced the harness for my CNC router - it was the most efficient way to make it work at a price I could stand...while it may see little use outside the military in "present-day" throwaway crap-tronics, there's still a place for it where reliability matters over the long run. So use it...