Ok, I'll Bite
Hate to see a man left twisting in the wind! *LOL*
Washing soda (sodium carbonate) is a "precipitating" water softener, in that if form insoluble particles and can bind to laundry and wash tub surfaces especially if pure soaps are being used.To counter this detergent makers can and do add other chemicals such as sodium silicate (water glass).
Washing soda not only is highly alkaline, but breaks down into sodium bicarbonate in textiles if they are not rinsed well. When this happens and the laundry is ironed the heat causes fabrics to turn yellow.
This is the rationale behind using "sours" in the final rinse.That is to remove final traces of alkaline residue and adjust the pH. Sour rinses as commonly thought do *NOT* remove detergent and or soap residue from fabrics. Indeed the acids use in sours will react with soap to form fatty acids that will turn turn rancid and cause textiles to smell "off".
Washing soda to some extent is used in all powdered laundry detergents because if it's ability to remove grease and soils. Personally have never seen a need to add more as the stuff is very harsh on textiles in excess. Sodium carbonate does not have any great odor removing properties like borax.