You can't "create" chlorine. CC and FC are components of TC and their total is all you can get.
So, if you start a SLAM by adding 20 FC to your pool, some of that 20 ppm will convert to CC's (usually not more than .5 to 2 ppm) but, in no case will your TC exceed the Total of 20 ppm that you added to begin with. (it will only deplete)
Please review "The "ABC's of Pool Water Chemistry" up in Pool School....especially the extended info on chlorine, and I think you will have a better understanding of how it all works.
Chemistry wise, the transaction is quite a bit more complex but TFP strategy works fine following the above ideas.
Everybody's pool is different, some see very little rise in CC, while others have quite a bit.
Remember, TC is the sum of FC + CC (CC+FC=TC). If CC's go up, so does TC. BTW- I have never seen a CC that is 2-3X the FC level, but nothing here surprises me anymore LOL.
During a SLAM, the only thing that needs to be checked is FC. If the water is green, the CC value is useless as it does not effect how to perform the SLAM. Once the water clears, then you can check CC at the OCLT.
I did a Jack's Magic copper stain treatment. It has been 4 weeks. According to the instructions, you will get false FC readings for 3-4 weeks. I am still getting the readings.
Now, for several months, I have had some green in and around the pool, including ON TOP of my solar cover. I have attributed it to dry weather and pollen, as my CC has always been 0. I have only been getting the CC since the treatment.
The green "pollen" is still around, and may even be getting worse. So, now I am unsure if I am having an algae breakout, or I am still getting false reading. Currently, my CC is about 8, and I am afraid to add too much chlorine to battle algae should that be what the green is or is becoming.
My water is crystal clear. I could tell heads or tails on a dime in the deep end. But, the green is sticking to the sides in some spots. It comes off easy, brushing and vacuuming up with no problem.