Alright, I think I’ve got it!
The following explanation will probably only make sense to more experienced Inkscape users, but this style is a bit too complex for me to do a full tutorial at this point. This texture can be achieved using a combination of several Live Path Effects. First use hatching to create the individual coils, then use stitched subpaths to position them semi-randomly in a particular style, and finally apply pattern along path to the stitched subpaths using the hatching path as the “pattern.” I used gradients to simulate the layering of the hair, and a “noisy blur” to make the strands look more textured. Even with all that, it still doesn’t feel quite as accurate as the examples in the previous tutorial. Let me know if you have any suggestions!