Zero chance the balance boards can bring random cells into balance within a couple days. Might take a week or 3, with a very low power charger. The balance boards can only shunt a small amount of power - look at their photos, most don't even have a heat sink.
Might actually happen in a couple days. Cells shipped from factory only about 80% or so full, to enhance lifetime, Changing still has to happen at slow rate to allow boards to bypass cells that fill first (the lower capacity cells)
Depends if the vendor did their work manually, or they hope the BMS does it, and you are stuck with filing a warranty claim. Even mature lead acid tech has limited lifetimes, we don't know yet what the exotic chemistries reaction over time will be, accelerated testing is not 100%, just a best guess,
Then you need to start factoring in the quality of the design and of the components of the BMS. Add all the reliability factors up for all the wires, components and design, and what the design life is. A BMS with a 5 year design life is not going far with a pack with a 10 year warranty, So who designs, fabs and installs the boards ?? Heck most spacecraft stuff only has a 5-10 year design life. Most last much longer because of the extreme care that goes into the design.
2. Same question but a group of cells ordered new from the factory or from a large internet dealer as a single order? Better or worse than the first situation?
3. Same question but this time you buy a preassembled battery pack with an integrated BMS?
Regarding Vampire and Monitor boards: Clearly any differences in current consumption of the boards is going to cause a growing imbalance as the cells sit idle or discharging. But if the cells are on almost constant charge at a high enough voltage that current difference is not going to matter. Where between those two extremes do the boards continue to make sense? Clearly not for typical solar PV where charge/float time is limited, and especially if you deliberately never bring the bank to 100% SOC where the cell bypass function kicks in.
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