As others have already stated in a really good, clear manner with lots of references - you seem to be operating on old, obsolete information and some incorrect assumptions.
The mAh rating of a cell is to do with how long it will last between charges - you can't say that such a mod needs a battery of so many mAh to work - that figure will merely tell you how long a particular cell will last before it needs charging.
It's the Amp CDR (Constant Discharge Current) limit that's most important - that's the figure that matters - it denotes how much current can be safely pulled from the battery.
The cells I've used the most, and have had really good experiences with are the Samsung 25R (20A CDR, 2500 mAh) and the Samsung 30Q (20A CDR, 3000 mAh) - this means that the cells are both capable of safely delivering up to 20A, but the 30Q will hold a little more charge and last slightly longer between charges.