For the described problem I’d carry charged 18650 or 21700 charged batteries as the limiting factor is recharge times. You’ll end up carrying more weight using a battery to recharge a battery than simply carrying a replaceable.
2/3rds rules
When you use a battery to recharge a battery you suffer losses.
The process of converting stored chemical energy into electricity is fairly efficient, about 90% is good rule of thumb.
The process of converting electricity into stored chemical energy is much less efficient, about 70% is a good rule of thumb.
These combine to mean to use a battery to recharge a battery is about 60% efficient.
Weight
A Powercore is not just a battery, it is the charging electronics (two sets, to recharge itself and discharge itself) and the plastic protective case.
Reliability
Anything can fail, the more complex, the more chance of failure. A 18650 cell has some risk, but put them in parallel and add electronics, the chance of fail is much higher. Not saying Anker is unreliable, simply saying if you have a more complex solution it will be more likely to fail.
Analogy: which is more reliable and lighter?
Use these:
and 
or instead carry this

The simplest solution is the more reliable.
I recommend ditch your ideas of the flashlight, you are focused too much on a specific flashlight. Change the flashlight to one which takes a pre-charged 18650 cell and carry the light and pre-charged cells. It will be lighter, cheaper, and more reliable.