There is a late 16th or early 17th century blackwork skirt in the Museum of London with a fustian (probably linen/wool?) ground and natural black wool embroidery--possibly bad out of some repurposed furnishings. There are also a couple probably 17th century women's jackets with a fustian or coarse linen ground and natural black wool embroidery at...I want to say the Bath Museum of Fashion. On all of these pieces, the embroidery was much coarser in style and execution than on the finer linen and silk pieces, and it wouldn't surprise me if using coarser materials was common for people who couldn't afford the best--but those pieces were less likely to have been saved.
I'm so glad to hear that you liked the article and yes there was certainly a wider variety in embroidery materials and styles that most people expect during the period. And as you mention the materials used may very well have varied due to the socioeconomic status of the embroider, especially for items made in the home.