Wear and Tear
While it's hard to sometimes to imagine these fragments as part of larger clothing and materials, the evidence on the fragments themselves speaks to frequent use and great care. The very fact that these textiles are appearing mostly in fragments speaks to how important they were.
After “acquisition of raw fibers, dyestuffs, and other materials (any of which might be imports) to the processing of the fibers, dyeing, spinning the yarns, weaving (and, for non woven fabrics, felting, knitting, or knotting), and finishing the fabric in the desired techniques, including sewing, applying final decorations, and fulling", textiles weren't discarded casually but rather worn to pieces, sewn back together, and worn again.