Though cotton is not the strongest of the three, one of the biggest advantages it has over the others is its capability to eliminate static electricity.
Though cotton webbing is a thin and lightweight material, it can still be strong. This material, besides having the best texture, is the easiest to sew.
Cotton webbing can be one of the costly fibers, but when it comes to getting that natural fiber feel, you have to go with cotton webbing. Cotton can have many uses still, even if it is not the strongest.