Thanks again Anna!

I've purchased another test kit from a local pool store (Club Piscine Super Fitness); it's the Aquachek strip test. I know strip tests are a bit limited, but I couldn't find the Taylor K-2006 or more interesting kits so far (might order one online eventually).

In the meantime, the Aquachek has allowed me to validate a few things, including CYA:

This is today, sunny at 3PM... last shock was yesterday night.

pH: 7.4 approx
Free Chlorine: over 10ppm.. dunno by how much. I validated with a drop test and it's also saying over 10ppm total chlorine (not free chlorine)... so Cl level is still high despite sunlight
Alkalinity: in the 80 - 120 range
CYA: in the 30-50 range... from the color, I would assume that it's closer to 30 than 50.

So all is looking good on the chem side.

Appearance is still green, but I do feel there is some improvement (subjective)... The look is slightly more milky and a bit less green I find, and visibility might be close to 20-24 inches now despite the cloudy/milky. I know that the milky look can be attributed to dead algae, which would indicate that the battle is making casualties (Good!)

Still have a lot of work ahead of myself I think though, so I'm not taking anything for granted. I'm doing the best I can to brush the bottom and sides of the pool to help chlorine attack the algae. However, I can't really vacuum or reach debris at the deepest end of the pool because visibility is absolutely nil there and I have no idea the size and amount of debris there (shouldn't be that bad since I use a winter cover, but who knows).

The plan is to launch a surprise Bleach attack tonight, with 2,5 gallons (about 10 liters)... maybe even 3 gallons.