Thanks for your answer and I am happy to see that he switching to a single battery.
As for the 18650B NCR 3400mah battery it has a slightly different chemistry than the older Li-ion lithium batteries and I can't say I know enough to understand it. I am not sure if you would get a longer run time with it than something like the 2900 PANASONIC NCR18650PF HIGH DRAIN.
It just my opinion but for safety and considering the small difference in actual capacity I would go for the hybrid 2900. If he does buy 3400 let us know what you think of them.
I'll try to explain but not sure how clear it will be.
You would think that a battery with higher milliamp rating would last longer than one with a lower milliamp rating. Well, maybe, it turns out that those ratings are often determined at very low watts which will result the highest milliamps ratings for the battery. Unfortunately that's not the way we use these batteries. So the ratings are only an approximate guide for us.
We use more power and that tends to heat the battery and cause the internal resistance go which in turn causes the battery to get hotter which causes the resistance to go even higher and so on. That why there is a maximum discharge amp rating on batteries and current limiting chips on our PV's for these batteries. If the maximum discharge amp rating is exceeded that self feeding cycle can cause the battery into a runaway thermal condition. Rapid venting, fire or explosion.
With higher the voltage we come closer the that maximum discharge amp rating and the battery drains even faster. So a battery with higher milliamp rating may drain faster than one with a lower milliamp and a higher discharge capacity.
Below is an online ohm calculator;
Ohm's Law Calculator