I do have 32 cells two x 16 cell 48v 40ah lithium banks that would happily run the house loads while balancing
Though By the time you switched over to the other bank for just the inverter but not the charger (as you need the charging still on the house bank it for balancing) it would be just as easy to switch the AC breaker on the inverter for 30 min. If the wife and kids can't go without the TV for 30 min then I have bigger issues than a out of balance battery
Seriously though as long as the loads are reasonably steady (normal base loads on the home 300w or so +/- 100w or so . I don't have any issues keeping a stable low charge rate in high balancing absorb. As I always time the final balancing to when the cells have really tapered off in charge current.
It's more so for when your taking voltage readings to . You don't want to be reading cell one with 200w load on the bank and then cell 14,15, 16 with 1200w load from the microwave on the bank. As your voltage reading are not comparable. Though it depends on how your reading the cell voltage. If you have individual cell level metering then at a glance you can see all 16 cells voltage. With one MM its a 2min time frame from cell one to cell 16's readings you need stability.
One thing with instruments that give specifications on there tolerances. Don't always trust the specs. Particularly if its a very low cost import. I have 3 cell level monitors (Not cell log 8's) another brand and style.
The way I do a quick test is the comparison method. The same as you do with a spirit level . Check a surface in one direction then flip it around. If the readings are not the same in both directions it's junk.
.Connecting all three of them to one 8 cell bank the readings where all totally different on each cell and off by a long shot. Then comparing them to a accurate bench meter all three where not just off by a long shot to one another all three where off by a long shot to the true reading on each cell. Talk about leading you up the wrong path.
They have sat in a draw for years
Though the listed specs would have you believe they are more than accurate enough for the task...just a shame they don't even come close to the specs.
Offgrid 2008, Selectronic PS1 6kw/48v inverter, x 2 Midnite solar classic 150 MPPT, 3960w NE PV 24 x 165w BP panels, 4200w NW PV 21 x 200w DAQO PV, 16x400ah lithium.