Batteries in parallel, act more like one big battery, the thicker the parallelling cables are.
When the batteries in parallel are distant from each other, the thickness of this cabling becomes more important, than if they are side by side.
Ideal wiring of batteries in parallel places all load and charge on the (-) of one battery, and the load and charge(+) on the most distant battery of those in parallel.
Ideal is not always achievable, but can be negated by occasionally swapping battery locations.
The thinner the cabling, when the batteries are not wired in a balanced manner, the harder it is on one battery or the other, as it works harder.
Check out this video of 3 12v batteries that were right next to each other, but not wired in a balanced manner:
Also when hooking batteries of different ages and condition, the newest battery usually has a higher fully charged resting voltage, and less resistance, and as such it performs more work, and accepts more charging current than the older paralleled batteries, and then when discharging, will actually feed the older batteries. As such this newer battery quickly degrades to the level of the older batteries.
Obviously the age difference of the batteries matters. Adding a new battery to another battery with under 50 cycles on it should not be much of an issue, but a new battery paralleled to a battery with 250 cycles on it is very abusive to the new battery.
So if 3 batteries are distant from each other, the paralleling cable thickness is very important, and the bigger the loads on it, like a 1200 watt induction cooker, the more important those thick cables and the quality of their terminations, become. Wiring them in a balanced manner with (+) and (-) NOT on the same battery helps greatly. If this is too inconvenient, I recommend swapping battery locations every so often so one battery is not worked so much harder than the others. This is also inconvenient.
The difference in ultimate battery longevity can be profound, when paralleled wired in a balanced manner, compared to an unbalanced manner.
I am curious if induction cookers work OK or suffer some performance loss on MSW inverters compared to PSW inverters. Lots of reports of longer cooking times and shortened lifespans on Microwaves on MSW inverters.