Cable lacing was used in old "step by step" telephone exchanges which used cotton wrapped wires. When the new fangled cross bar exchanges came in, PVC insulation was the cable of choice, this suffered from plastic flow. The recommended way to run cables was just throw them in the cable trough (the steel shelves running above the equipment, which were also good for the occasional nap). They were looking at many years of installation, I imagine cable ties cause the same problem, but installations probably don't last as long now days, and the cables aren't twisted pair. Source: Ex telephone exchange tech.
You've just given me a fun idea for the office. :)
It's not done much in industry because it's slower than zip ties or velcro wraps (which also require essential zero skill).
With regards to the material used, I have never used or seen waxed linen cord. It was always purely synthetic (plastics) possibly due to cost, availability, or performance.
Only if you are speed lacing and do not knot the intermediate restraints. If there is any chance that you will need to break apart mid line you add a stable knot at each intermediate and can simply break between any tie.
Zip ties are cheaper and faster, velcro might not be cheaper but still faster and a lot more flexible. This being said if I want to send a rover to Mars (so definitely a final install) I will not use zip ties :).
What sometimes happens is that a PHB will see the switch away from lacing and to cable ties and think that the rest of the job is now lower skilled, and they put lower skilled workers on that job. This is bad, because wiring looms are tedious to inspect and test, and we now need better inspection and test to compensate for the lower skilled staff.
Also, because cable tying tends to be done with a hand tool (reproducable tension, uniform cuts, speed of assembly etc) there's a small risk of repetitive strain. I used to use this tool, and it was okay if I was doing the entire loom, but it sucked if I had a big pile of other people's looms and all I was doing was adding cable ties. https://uk.farnell.com/duratool/d03033/cable-tie-gun-stainle...
Here's a link to one model: https://uk.farnell.com/panduit/gts-e/tool-cable-tie-installa...
Good hand tools are always worth the money.
For bigger bundles of wires there's also the "plasic flow" (basically the weight of the bundle causing the cable to cut the insulation) issue another commentor mentioned that loom is basically immune to.
Cable ties and velcro wraps seem to make more sense.
Zip ties are totally banned from the fiber meet me rooms at many major internet traffic exchange points.