But it is still more than 4000mAh right?
Besides doesn't that result longer battery life by not charging it full?
no, lipo & li-ion like to be 100% charged and if possible charged slowly. leave one of those discharged too much time and they will be damaged.
in fact both can be charged to 70% in about 30 minutes, but in order to get 100% and better life time they need more time, the last 8% is important
charging time depends on the charging power of course
I didnt see the specs of the case, but seems to be at least 16cm wide, maybe could fit pretty well