Hard to tell from the pics. Does the dark jar look essentially the same as the "in the light" jar?
I thought your whitish particles might be something growing (organic). If the jars are the same, then probably not?
Do you have a microscope (or a buddy with one)? Might be enlightening to see what the white particles look like under magnification.
If not, then perhaps dry them a bit after you end your experiment and run them through your fingertips and see what you think.
Finally, if mechanical agitation due to your aerators is causing the murkiness, then perhaps put them on a little platform off the bottom.
(I do not have aeration, so definitely NOT an expert. I can't remember if the archives have some threads about aerators off the bottom?)
Jars are identical. I don’t have a microscope, but I do feel like there’s hope that w some adjustments this might be cured.