Bleach III was only used as an example, but it is quite strong in spite of not being recommended for E6 films. Basically, E6 films form silver from virtually all of the silver halide coated, but negative films only form sliver from about 1/2 of the silver coated. That being said, one must remember that C41 films form powerful bleach inhibitors during development in order that the color correction chemistry be active. They are so powerful, that bleach accelerators are also coated in C41 films. None of this is present in E6 films. Other methods are used, that are not so draconian in terms of silver retention. So, in the end, both bleaches must be powerful, but in different ways.
In spite of the above paragraph, my comparison as an example still stands.
And, E6 films appear to still need formalin to preserve dyes and emulsion. More recent films use an antifungal agent for the same purpose. In older films, the couplers needed formalin to protect them from yellowing and dye fade.
PE