That’s essentially what we’re doing on a large scale, minus the short hot water bleach cycle. Bleach really isn’t great at cleaning things and will react with certain stains like proteins to make stains that will never come out. Best practice is to get everything as clean as possible before using bleach as a whitening agent.
Same goes if using bleach as a surface disinfectant. Clean with soap or other cleansing product and water first, then apply diluted bleach solution.
Modern HE and even some old top loaders have a special bleach reservoir that does holds the bleach until the right time, which is after the detergents have had a chance to do their work.
I typically don’t trust consumer facing sites and news articles which are simple reposts by lazy journalists but Clorox has a great Q&A section of their site where they do a good job covering the chemistry and how to’s of their bleach products.
https://www.clorox.com/how-to/laundry-basics/bleach-101/hot-water-and-bleach/
https://www.clorox.com/how-to/laundry-basics/bleach-101/water-temperature-and-bleach/
Not trying to change your mind, just sharing what I’ve been studying and learning 