Remember, that larger number is a MAX DISCHARGE figure. Not a CONSTANT DRAW number.
I have a Samsung battery that while rated 20A continuous amps, has a max pulse that - in theory - could go as high as 100A for about a microsecond. I sure as fuck am not going to test that theory out on my body.
Just because the battery could theoretically pull X number of Amps for a millisecond under laboratory conditions, does not mean you should try it with a metal tube up against your face. ;-)