Most of the companies involved in the tall oil market are in the pulp and paper industry given that crude tall oil is obtained from treating skimming of black liquor (a byproduct of sulfate pulping) with sulfuric acid. I got this information from the American Chemistry Council:
Tall oil is essentially a mixture of oleic and other unsaturated fatty acids and rosin acids. More than 90% of the tall oil produced is distilled or fractionated for upgrading to fatty acid, rosin, and tall-oil pitch. The latter contains rosin anhydrides, estolides, miscellaneous hydrocarbons, and distilled tall-oil heads. The remaining crude tall oil is refined with acid or sold as crude tall oil. In its modified forms as salts, esters, and adducts, rosin is used in a variety of industrial applications. Major uses include printing inks, paper sizing, and adhesives as well as chemical intermediates, rubber, and coatings.