I started with the most recent water formulation from Empirical Tea and then added some potassium chloride (based on Teasecret's remark) - 77 mg specifically (into the 10x concentrate), which is ~ 1.8 mg of potassium per 1.7 liters of water once diluted with distilled water (though actually I'm using filtered tap water instead of distilled - this may be adding some trace amounts of minerals that distilled would not, but it also seems to make slightly better-tasting tea, so I'm prepared to live with the uncertainty

I then prepared another version to which I added 180 mg of ferrous sulfate for the iron. Tetsubins appear to make a significant difference in how tea tastes, according to many - too many for me to ignore. That said, I look at the cost of a good tetsubin (and were I to buy one, I'd want it to have some aesthetic value) and think, "I could buy a lot of tea with that money". You know what costs a lot less than a tetsubin? Ferrous sulfate powder. So, in that went. I should note that ferrous sulfate has two slightly unpleasant side effects: one, get much of it on your hands and your fingers are going to smell like a kindergartner with a nosebleed until your next shower; two, the subsequent gallon of 10x concentrate will look disarmingly like the pandemic has driven you to the Howard Hughes/Montgomery Burns lengths of saving your own urine (or drinking it). A label is therefore a good idea, lest any of your family members become even more convinced of your weakening grip on reality than your already-quite-insane decision to modify your own water for tea has done.
I tried both systematically with three teas I know well and found the entire process educational and yet incredibly dull (I like learning, so those two don't usually go together, though YMMV). I concluded that both waters needed a lot more chloride. I'm not sure if it's my palate, the tea or what, but there was a harsh, acrid note on the front of my tongue with all three. In went enough Himalyan pink salt (which is also adding trace but likely insignificant amounts of things other than sodium and chloride), adjusted for the concentrate already used, to equal a 3 g/3.78 liters (1 gallon) ratio (in the 10x concentrate). That happened on Tuesday, I believe. Since then, I have been testing both but less systematically so I can actually enjoy the process of making tea. Each day I decide to use one or the other and have decided I'm fine with not necessarily testing in sequence on the same tea with the other water on the same day. I am keeping notes after the entire session with a given tea is done, just so I don't forget.
Overall, I think the improvement of more salt (NaCl) helped, but i may have overdone it and once done with these I may reduce the next 10x concentrate I try to 2 g/3.78 liters (1 gallon) to bring back some additional complexity. I find that the water with the added ferrous sulfate/iron is better than that without, overall, but may tone it down to 150 mg as every so often I do get a slight tinge of vampiric aftertaste from the tea. I have not used either on any green or white teas, and am still using filtered tap for them as that seems to work best, and I think when all is said and done there may also be teas that prefer the non-iron-added version of the formula. I suspect I will end up keeping a couple different mixes on hand for different situations. So far, though, I am happy with the experiments and feel that most of the tea I'm drinking has been better for the changes, and hope that continued refinements will keep moving in that direction.
EDIT: The quantities mentioned above are again for the 10x concentrate. While 180 mg of ferrous sulfate in one gallon of water, drunk straight, won't hurt you (a single iron pill is 325 mg usually), iron is very toxic when over-consumed. Potassium chloride is sold as a salt substitute so, again, unless you go nuts you're unlikely to run into issues, but getting your electrolytes out-of-whack can also cause problems. When adjusted for 1 part concentrate to 9 parts filtered tap, I'm calculating each 1.7 liters of water contains roughly (all rounded up):
76 mg of sodium
22 mg of calcium
6 mg of magnesium
2 mg of potassium
3 mg of iron
And then there's also ton of chloride in there, but the human body can more or less absorb however much chloride you consume, provided you are getting plenty of water. Sulfate is generally fine in quantities < 250 mg, and by my back-of-the-envelope match just now, there's about 55 mg/L in the formulation I'm using.