I've read this thread, its been an interesting read. Building speakers for so many years, I've experimented with many cone materials.... a lot of what has been said about cone break up on paper cones is valid to a degree, but in so many ways, quite far off....
Everyone knows that paper is ground up wood pulp in some form or fashion. Thin paper resonates at a higher frequency than heavy paper and does show break up quite easily, but through the years many things have been done to help solve this... One is layers, a layer of paper over the next helps dampen the first layer and each layers adds dampening... Next, as paper is made, the binding material will also change the frequency that the paper resonates at and its breakup frequency... Not entirely, but basically, the stiffer the material, the higher frequency that it resonates. So a heavy stiff cone, won't break up anything like a thinner cone. One process that has been used for years is to paint a dampening coat on paper. I have used a couple of types of latex. I have also blended latex with other materials, i.e. glues, epoxies, silicone mixtures and other things, which helps to stiffen paper as well as dampen the cones all at once. A stiff material can extend the frequency response of a cone, while a softer material will simply dampen the cone and help control break up and change the frequency roll off.
Sure, this is an elementary explanation, but it holds true... Paper has been around for along time and I'd be quite surprised if it went away anytime soon.
I hope this helps, Tim