"Not at elevation"
That is not a sentence.
Yes it is a sentence. I stated: "Yes, you would be looking through more of the atmoplane. A more clear and less dense atmoplane."
To which you replied:"How would it be more clear and less dense? You might be in a less dense area, but if you're looking further, you're looking right back into that denser area, and more of it."
A three word sentence is the answer: "Not at elevation."
The air clears of heavier particulates the higher you go in altitude(in general). This principle generally applies across the Earth. So, if I rise to a level of 100 meters and there is another object (say a balloon) floating at the end of a line at an altitude of 100 meters and it is 3 miles away from my vantage point, I would have a better chance of seeing it than if we were at ground level, all other things equal.
So yes, I am looking through the same amount of atmoplane from point a to point b, but there is not as much "junk," in the atmoplane between point a to point b at the elevation of 100 meters compared to ground level.
Plus, the atmoplane is less dense at both my vantage point and the direct observation point.
As for water density, then what is the change in density? How much does that effect light? Is it as much as the change in air density?
Please research these answers yourself.
And no, it doesn't match your argument. Particles in suspension in water =/= air. When looking into more air, it is just that: more air. You're not looking into dust particles in air (though you probably are in small amounts), you're just looking into more air. If you can see further, you're looking back into the dense air. You're looking through more air. This means you're looking through more particles.
Wrong, as demonstrated above.
Even then, the slight change in density of the water isn't why you can't see further down. It's because the sand under the water in tropical beaches, or wherever, determines the light reflecting off the bottom. White sand = more light = clearer water. Dark sand = less light = less water.
Okay, whatever...I guess mountain lakes do not count in your estimation.
I agree with you that particles in suspension in the air do contribute to how far we see, but if you're seeing further, you're simply going to be looking through more air particles. You might be looking out from a less-dense area, but you're still looking right back into that dense area. And, if we can see further, you're looking through more of both less-dense and more-dense areas.
Only if you are looking down.