OK, I have an answer for the LTO batteries. From the first Amazon page, I have some 40Ah 2.3V cells (40Ah @ 2.3V = .092kWh) for $52.26 per unit, in quantities of a dozen or so. It works out to $568.07 per kWh from that one listing.
For the Edison cells, I don't know. You can make them in your kitchen like the video in the OP. But you don't need to make your own semipermeable membranes, or worry about flowing solutions of whatever.
My brother was putting in a solar system, and I talked him into getting Edison cells for it (also made in China now ofc) ... later he was mad at me because they arrived as packages of dry chemicals, and when he mixed alkali and water, it started boiling. I should have known, he majored in physics not chemistry. Also that 50% efficiency and the charge controller/inverter he got is programmed to maintain lead-acid batteries. Lead-acid requires a special charge and maintenance cycle, due to quirks of the lead sulfate reaction product. (PbSO4 is neither soluble in water/acid, nor does it conduct electricity)
That was 20 years ago, and I'll bet his Edison cells are still working the same in his vacation home... they might need a little distilled water now and then.
There is one other thing you need to do in either NiFe Edison batteries or your 'flow cell' design, and that is to exclude air from the electrolyte solution. The reason is that NaOH or KOH solutions will, over time, absorb traces of CO2 from the air and become K2CO3 etc. CO2 is a weak acid, and strong bases love to pair with acids. Even at a few hundred ppm, CO2 will ruin your alkali solutions over a few days' exposure.
