Multiple reports from users of clear and blue covers. I have a mostly opaque cover myself so no surprise that it cuts down on daily chlorine use. There were at least two separate pool owners who had tried both types of cover -- clear and blue -- and both found that clear did not significantly lower chlorine demand but that the blue one did. Other people using only one type of cover also reported not much change with the cover on vs. off with clear, but noticing a difference with the blue cover.
See this post for one example (you were on that thread so might remember this post). This post is another. This post is another. It is consistently reported that the covers that let more light in, so are more clear, heat the pool more during the day (which makes sense). So the tradeoff is between daytime heating vs. chlorine loss. The ideal cover would block UV but let infrared and visible light through, but that doesn't seem to exist.
I had initially hoped that the clear cover would block UV but let infrared or visible through, but that apparently is not the case. Plastic doesn't behave the same as regular glass which does block a lot of UV (quartz glass lets UV through).
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