Thank you , again, Richard for your comprehensive post.
Here are a few theoretical and practical questions.

A. Theoretical

1. The CYA/HOCL relationship

Let's see if I understood the crux of the matter.
There's a chemical equilibrium between CYA, HOCL ("active chlorine") and HOCL bound to CYA. The latter
is not a "potent" chlorinating agent, however, it protects the bound HOCL from UV degradation. By the simple law of the chemical equilibrium constant, the concentration of HOCL is inversely proportional to the concentration of CYA.
Did I get it right?

2. You mentioned that HOCL acts on organic material by combining with ammonia. While this is easy for simple stoichiometric calculations, wouldn't it be fair to say that the active chlorine actually acts with almost "anything that walks", that is, a lot of organic compounds, especially those that contain amine groups? There’s no free ammonia on fabric stains! How would that affect all the calculations?

B. Practical:

1. I just got my Tailor kit, and read their "Water Chem" brochure.
On one hand they advocate the 10X CC rule for shock, and on the other hand they admit that high CYA level has a negative effect on the affectivity of FC. Nevertheless, they have do not address this issue quantitatively. This is amazing. What's wrong with them? They seem to know their chemistry right.

2. I followed your post regarding shocking of algae-free pool and I'm still not sure if I understood you correctly.
I understood that if the minimum level of FC is maintained, and even if the CC momentarily rises above 0.5 you still don't need to shock. Then when do you?
If CC >0.5 for more than three days?
Suppose, based on a persistent CC > 0.5, you need to shock, why would the FC ppm would be that of an algae shock? In your table, with my 60 ppm CYA, I need 23 ppm FC to shock. According to Ben's table, it's 20 ppm.
Should this (20 - 23) be my shock level for CC >0.5 and no algae problem?

"Traditional" pool procedures recommend shocking every week. From what I understood so far, as far as you are concerned, the only thing that matters is if CC >0.5.
So suppose, my pool goes on CC <0.5 for a long time, and there's no other visible organic contaminant as pollen or suntan lotion film, I don't need to shock?

Apropos pollen: It seems reasonable to shock the pool if there’s pollen on the surface, doesn't it?