You can always measure your overnight chlorine loss to see if the loss is only due to sunlight. With only 20 ppm CYA, you could be seeing losses of 60-70% of the FC in a day, but the CYA test could be off a bit so losses could be even greater (if there were no CYA in the water, then half of the FC gets broken down every hour in direct noontime sun in a pool with typical depth -- in very shallow water, half gets broken down every 35 minutes). Even so, I suspect there are other issues here. You could add the chlorine at night, have the pump circulate for an hour, test the FC. If it's not what you expect, then the chlorine isn't as strong as you think or there is something in your pool consuming chlorine quickly. The overnight drop will tell you if there is something in your pool using up the chlorine other than sunlight.
You can also test your chlorine's strength by knowing that 1/4 teaspoon of 6% bleach in 2 gallons of water is 10 ppm FC. Use distilled or filtered water if you have it -- if you use tap water, then account for the initial FC or CC.
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