1. How do you explain that I need to clean my glass LESS often than you, yet I've never used anything but tap water?
Your conclusion seems to be based on just your own tank, which must have been out of whack for some other reason (I've never heard of anyone cleaning the glass daily).
It is simple to explain. Your tap water probably has less nitrates and phosphates than mine. As for my tank being "out of whack" that is possible, but the RO/DI water seemed to make a big difference in my case.
2. Does your spreadsheet really take into account that water change replaces a supposedly heavily concentrated mix?
If so, how can the effect be minor?
Yes, it does. I would be happy to send it to you so you can check the math. it is quite simple, actually. Let me give you an simple example to illustrate:
Suppose that you put 10g of sugar in 1L of water (I will use metric measurements here for simplicity.) Now suppose you do a 15% water change using PURE water. How much sugar is left? 10g*85% = 8.5g. Repeat another water change. Now you have 8.5g*85%=7.2g. How many water changes do you have to do until there is less than 1g of sugar left? 15 water changes!
Now to make matters worse, let's suppose that the water that you are using to do the water changes is not pure, that it has some sugar in it too, let's say 1g of sugar per liter (1/10th of the concentration of the original solution above. How much sugar is left after a 15% water change? (10g*85%) + (15%*1g)=8.65g. Do another water change and you have (8.65g*85%) + (15%*1g) = 7.5g. How many water changes to get down to 1g? 48 water changes.
Now lets make matters even worse lets suppose that you have evaporation and that 20% of your water evaporates between water changes. That means that before the first water change, the concentration of sugar would increase. How much? (20%*1g)=.2g. How much sugar is left in the water after the first water change? [(10g+.2g)*85%]+(15%*1g)=8.82g. How much after the second water change? [(8.82g+.2g)*.85] + (15%*1g) = 7.82g. How many water changes to get down to 1g? Never. You would never be able to get under 2g.
This example illustrates what happens if you have contaminants in your make-up water. Every time you add water for evaporation you dump contaminants in your tank. Every time you do a water change you add contaminants.
3. What about consumption/incorporation of trace elements by the tank life -- that's why those elements are there. Does your formula subtract these from the concentration?
The formula assumes that the contaminants are not consumed. Again, we are mainly talking about nitrates and phosphates as the contaminants. If you wanted to add a factor for consumption of nitrates you could do so in my spreadsheet. Most peoples' tanks
generate nitrates when the fish/corals are fed. Unless you have a highly efficient sand bed and a macro algae export then the net is greater than zero. I was conservative and kept it at zero.
Remember, we are discussing the use of water changes alone for nutrient export.
4. You do not seem to take into account that saltwater mixes are designed for mixing with tap water.
How do you know that you have enough trace elements with RO/DI?
Not to be rude, but what have you been smoking? How can a salt mix
remove nutrients when you
add it to the tank? As for trace elements, I get plenty from my salt mix. Which trace elements in your tap water are consumed regularly? Do you test for them?
I will repeat one thing: there is a reason why 99% of all serious, experienced reefkeepers use RO/DI water. They know it makes a difference. If you are too cheap to shell out the $180 for a RO/DI unit, fine, just don't ask me to agree that it is better for your tank.