yep.
commercial soaps are typically made by blending purified "salts of fatty acids". which means someone saponifies oils and then separates out the sodium X-ate from the water and the glycerin. The chosen components are then blended and things added such as some of the glycerin and other stuff. This gives the manufacturer a lot of control and a more consistent product since the SAP of oils actually can vary from batch to batch. Plus stocking these sodium X-ates is easier since they are very stable.