Either way, I generally agree with your position. Bleach tends to break down pretty quickly compared to many other things.
Not sure.
SDS for Clorox Regular Bleach: https://www.thecloroxcompany.com/wp-content/uploads/cloroxre...
It lists a single ingredient: sodium hypochlorite.
Also if chlorine is stabilized by cyanuric acid, it is no longer active in the environment - basically the cyanuric acid locks up the chlorine in an equilibrium so that it slow releases, which is why it's widely used in outdoor pools. Otherwise UV exposure would cause the chlorine to offgas rapidly and you'd need to add chlorine every hour or so during the day, which is obviously effort and cost prohibitive.