Color safe bleach is not a disinfectant
Using the dish soap and color safe bleach can definitely clean the fabric and can work on milder stains. But basically you're just using two soap products. Don't think that the color safe bleach works just like chlorine bleach but without ruining the color - they aren't the same thing. Color safe bleach will not kill the mold spores as chlorine bleach will. Regular bleach and bleach for colors are really quite different. Sodium hypochlorite bleaches like Clorox® regular bleach are strong oxidants and are very effective at soil and stain removal. This is also the ONLY type of bleach that disinfects (which is why a "chlorine" product is used to keep pool water clean). Regular bleach is great to use on whites and bleachable colors to remove stains, dirt and body soil better than detergent alone. Conversely, bleach for colors is an oxygen bleach. This is a much milder oxidant and is usually safe to use on most machine-washable fabrics. Color-safe oxygen bleaches work best on a broad range of colored stains such as beverages (e.g., coffee, tea, wine), fruits/vegetables (e.g. blueberry, grape, cherry) and mustard. Bleach for colors does clean and brighten colors better than just detergent though.So I guess the bottom line would be, if you have skanky fabric, color-safe bleach won't get rid of it.BTW: be careful what products you mix with any bleach, especially chlorine bleach and amonia. This is very dangerous!