Very straight forward - in the Surface Editor, use Object UVs! Opens up quite a few possibilities, especially for texturing various types of cable.
Scene files on Gumroad:
https://markwarner.gumroad.com
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00:00 - Introduction
00:12 - Set Up
00:39 - Surface
02:23 - Object UV
03:15 - Randomising
05:01 - Shaping Fibers
05:44 - Image Textures