The CYA is not showing up at all on the 30ppm.
Does the 7ml pool water, 7ml reagent mix get cloudy at all when you run the CYA test? If not, your CYA is probably 0 or very close. If it does get cloudy, then all we know is that it is <30ppm, which makes it hard to maintain a constant FC level required for the SLAM. If you do add CYA, it's best to under-dose what pool math recommends, because it is easier to add than remove. And, very important, it can take up to a week to register on the CYA test. So, calculate, pull the calculation back a bit from your desired level, apply the CYA, wait a week, test the level, repeat if necessary. The most common application method suggested on these boards is to put the CYA in a sock, and tie it off in either the skimmer or in front of a return jet, and squeeze the sock periodically to help it dissolve.
Would you use bleach to shock?
Standard bleach, as others have chimed in, is all you really need for shocking as well as standard chlorine maintenance.
Standard bleach, or higher concentration liquid chlorine that is sometimes called "liquid shock" or something else, should only have sodium hypochlorite as the active ingredient. That is sodium and chlorine combined. The "hypo" in the cal-hypo you have been using is also hypochlorite, just bonded with calcium instead of sodium. All solid forms of chlorine, as a rule of thumb in general, contain "extra stuff" that you don't want in your pool. For example, the Hayward Chlorinator you have uses trichlor tablets. Those tablets add chlorine, as well as CYA to the water. Too much CYA renders the chlorine unable to kill things in your pool without reaching insane levels of FC. It is also why the pool I bought in January had over 200 ppm CYA, and I had to drain and refill a portion of the pool 7 times to get down to a more reasonable level of 40-50 ppm. (The previous owners left a giant tub of tablets for me, too. How nice of them!

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The TFP method relies on not adding "magic" pool store ingredients that add extra chemicals you don't need, because they usually do more harm than good. It shoots for the purest form of what you need, while still being easily attainable. (Straight chlorine gas would be the most pure form you could use to chlorinate your pool, but getting, storing, and applying it is very difficult, complex, dangerous, and in some areas, illegal.)