As for the toxicity of sulphated surfactants... there seems to be some hysteria about this topic.
SLS (Sodium Laureth Sulfate) and SDS (Sodium Dodecyl Sulfate) are the same chemical. Both are synthesized using coconut oil as the main ingredient. SLS is an excellent detergent and degreaser. In fact, it's so good, that a lot of the uproar about it is because it will readily remove fats and oils from skin, drying it out and causing irritation. The solution? Use a milder soap on the skin, or one with conditioner that prevents the drying.
The other issue is that in converting coconut oil to laureth, a process called ethoxylation takes place. In some cases, a very small amount of 1,4-dioxane is produced as a contaminant. And this 1,4-dioxane has been classed as a possible carcinogen (Note, I used to work with this chemical in a medical research lab for a few years, no cancer yet). The FDA says the amounts in commercial SLS is so low that it doesn't present a health risk. And 1,4-Dioxane should not be confused with the bad stuff in Agent Orange, which was dioxin, and does cause cancer. Sounds alike, not the same.
In the lab we used SLS (we called it SDS, more technical) in a variety of ways. Mainly by virtue of its strong degreasing ability, it could dissolve cell membranes and allow researchers to study the cell contents. In other applications it was used to keep samples flowing and mobile in a gel electrophoresis procedure, which is a fancy way of saying the distance that various components traveled in response to an electrical charge could be used to characterize them, and SDS made that possible.
My recommendation if one is really worried about sulfated surfactants in laundry detergents: Don't eat or drink the stuff. Make sure you don't overdose the laundry so the detergent get rinsed away at the end. If you're unsure, try adding NO detergent to the next batch of laundry and see how much suds are formed. If they are noticeable, then you've been OD'ing.
Cosmetics and shampoos are another matter, but irrelevant here; this is a laundry forum, not a beauty parlor.