Ah is the capacity, Wh is the amount of stored **energy**.
Problem here is that the amount of energy you can *take out* of the battery depends on the discharge rate. The faster you discharge the battery, the lower the total amount of energy in the end.
So imagine you had a water bottle that played by the same rules: It contains water, but how much water you get out of it depends on how fast you pour. Would it be better to print “1L” on the bottle (even though some folk will get 0.7L or 1.4L out of it) or would it be more useful to print “the flow of water will last this many hours if you pour it this quickly”?
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