I have been using bleach for years and have never experienced any off flavors from the chlorine. If you were to use it full strength or something else equally as stupid, you could have a problem. Chlorine attacks and tears apart proteins, so a little goes a long way and it is extremely effective. If you think your plastic will impart off flavors from the chlorine, smell it. If you smell chlorine, rinse it with warm water with some dissolved sodium metabisulfite, the odor be gone in a few seconds. Chlorine is very volatile and dissipates fairly quickly. I’m not sure why it’s dismissed so quickly, maybe it’s from people getting stupid with it.
The only reason I posted this is that there are better things that won’t attack metals or leave any possible residue that could potentially impart an off flavor to the beer. If you feel comfortable with it, use it. I do not.
Also bleach will pit stainless steel which is another reason I don’t use it.