I can't read the article, because the blog is now down, but it seems somewhat strange to talk about a hypothetical fabric CNC when such machines are readily available and used in industry, including these options and more, as handy modules that you can use for cutting all kinds of fabrics: https://www.zund.com/en/cutting-systems/modules-and-tools

Those machines are probably a bit expensive for private use, but theoretically this seems like it is a solved problem.