Hi Royce and Kris
OK, the original intention wasn't to get a huge superheated debate going here.
Don't worry about that at all; this is a great thread. It's good when some of our more scientifically minded members get to putting their heads together. Everyone gets to learn something from it.

But of course, this might not be solving your immediate problem, so I can understand your concern.
Another thing that I hadn't even thought about until then was possibly over-medicating when adding water due to evaporation. Instead of treating just the H2O that was being added, in some respects, I was treating the whole tank.
Let me clarify this. Do you mean over-medicating with dechlorinator or are you treating your fish with some other kind of medicine due to illness.

If you mean dechlorinator, I don't think it's a problem. Those of us who use a python to do water changes always add enough to treat the entire tank and have no trouble because of it.
If you mean you are medicating the tank due to illness, that could mean something. Some medicines are known to reduce the oxygen level in the water and it's a good idea to use more aeration to compensate for it.
If you are losing a significant amount of water due to evaporation, perhaps you are using too much aeration. I think evaporation might lead to concentration of minerals etc. and I hope this might be a situation our science folks will comment on.
BTW, what are you feeding your fish? Perhaps that is contributing to your problem.