Polyester is totally fuzz free. Cotton is fuzzy, and is typically waxed with beeswax to suppress the fuzz, and it and linen are two of the most traditional lines for rigging wooden model ships. I only wish we could get the old linen fishing line from the 1940's. It made great rigging, but is scarce these days. You'd have to make rope with the linen and stain it, but it is far stronger than cotton. It still suffers from stretching and tightening from weather like cotton though, so decades old models usually have their staylines go slack. Polyester is like a rubber band. It is elastic, and if you impart some stretch to it when rigging, it will not go slack with changed in humidity. It is harder to secure the knots with glue, however. PVA doesn't stick well to poly. Most people use CA, and hope that a white residue doesn't form.