This would be difficult to scale. And it's possible, even likely, that it can't be applied to existing strong fibers, which are drawn at very low diameters. The paper does its best to bury the lede, but the polymer they were using was acrylic-based, and likely very weak in comparison with, e.g., Dyneema or aramid fibers.
There are quite a lot of papers which examine the mechanical properties of nano-lattice and nano-architected materials, made with lithographic techniques, but I think that the commercial viability of these materials is effectively zero. And, in many cases, as here, it's not clear that they'd be superior to the standard high-strength materials that are already so ubiquitous.