It is essential to make this distinction!
Soaps were born hundreds of years ago as the result of a chemical reaction then called saponification and are natural because they are exclusively produced from fats and soda. Reading the ingredients that compose them (INCI), they should not contain substances unrelated to saponification. These are our soaps.
Skin cleansers appeared a few decades ago when industrial chemistry began to transform residual waste from oil processing into products to be used in the cleansing and plastics fields, with costs close to zero. This is how laundry and skin detergents were born: a set of surfactants and other chemical synthesis products combined to wash, with the disadvantage of destroying the hydrolipidic layer of the skin and its microbial flora, which is responsible for the acidity of the skin.