I had to do some conversions on the Pool Calculator to check your numbers but I get that the 1000ml of bleach adds something less than 1.0 ppm FC to your pool. And your CYA is very low, but there is some, so we have to guess at the level, perhaps 20 ppm, maybe 10. At 20 ppm CYA you want to always be above 2.0 ppm FC. If it is getting to 2.5 ppm after a swim and then you add that dose of chlorine to get it to maybe 3.4 ppm and the next day it is 2.5 ppm, then you seem to be at a stable point.
Ordinarily we might suggest to raise the CYA to 30 ppm, but if you keep the pool mostly covered, then the sun is not much of an issue in chlorine loss. In your case that just gets the CYA value into a range that it can be read more easily and you are still in the range where it is easy to see your FC level using the OTO type test. To do that, you would want to only add enough stabilizer to add perhaps 10 ppm, then wait a week or two to see what you are able to test. But really, the difference between CYA 10 (FC 1 - 4) and CYA 30 (FC 2 - 6) is not much and given the numbers you have now, that does not matter.
So, after looking at these numbers, I'd say you are just fine where you are now (but do wait for a pro to weigh in on that). Adding a bit more bleach won't hurt. Your concern may be to always be aware of sudden chlorine consumption that might indicate algae growing on the cover.