When you thought you had yellow/mustard algae I first suggested the high shock level (FC that is 60% of the CYA level) and a second choice was a phosphate remover, especially if the level was high.
Your 200-300 ppm phosphates is not high. There are those that have pools with 2000-3000 that are able to manage them. It's only those rare pools with 3000+ (I recall one with 7000 ppb) that seemed to only be resolved with a phosphate remover because it took too much chlorine. This isn't your situation but we didn't know that since you didn't know your phosphate level.
After I mentioned that many people mistake pollen for mustard/yellow algae, you said in this post that what you had was pollen and that covering the pool helped (I had also suggested a skimmer sock).
So I'm not sure why you got the phosphate remover except just to try it out since you had determined you had pollen.
As for the water clarity, the Lanthanum combines with phosphates to form a precipitate that is either vacuumed out or gets caught in the filter. That's how it removes phosphates from the water. It's not a clarifier so I don't know why it would clear up the water unless there happened to actually be some nascent algae growth -- but sufficient chlorine levels should have worked for that.
Maybe someone else knows, but I don't see how the phosphate remover would directly make a pool more clear other than preventing algae growth.
Richard
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