I just calculated from a full single cell average 3.7v. Quick and dirty for comparison of the two at fresh charge levels. A true average of the range would produce significantly less.
2000mah = 2A. 2A x 3.7v = 7.4 watt hours. Quick and dirty, but close enough for comparison.
No. This is nowhere nearly close enough for comparison. A good example of a 2000mAh battery would be the Samsung 20S. According to Mooch's test results, continuous discharge down to 3.2V it delivers 6.0Wh at 10A, 5.0Wh at 20A, 3.9Wh at 30A. Lets compare it to the Molicel P26A, which has 2600mAh so 30% more mAh. The numbers are 7.8Wh at 10A so 30% more Wh. And 6.2Wh at 20A so only 24% more Wh, not 30% more. This is because, due to the lower DC internal resistance of the 20S, at 20A it runs a tad more efficiently than the P26A does. But the DC internal resistance of the P26A is still also fairly low, which helps to explain why this difference in efficiency is not huge, BUT... the closer you get to the CDR of the battery that has the lowest CDR of the two─in this instance that would be the P26A, which has a CDR of 25A versus 30A for the 20S─the bigger this difference in efficiency will be.
Now, if you look at the DC internal resistance of the Sony VTC6, the Samsung 30Q, the LG HG2, and compare THAT to the P26A, that's when you start to see the fact it really can, and really does matter, quite a lot actually. Even, if you are at only half of the CDR of the LG HG2, the P26A still wins (by a narrow margin, but then, winning is still winning...), despite the LG HG2 is 3000mAh. Just to illustrate my point re the efficiency. And then I haven't even mentioned the fact a battery that runs at a higher voltage for most of the "discharge down to 3.2V cycle" causes a regulated mod to draw less amps on average so the battery gets discharged even (just a little bit) slower as a result. But charging a 3000mAh battery takes longer than charging a 2600mAh battery like I said, and, if you try to compensate for this difference by increasing the charging rate of your charger, then what will happen next is the battery will age faster, thereby causing the measured capacity of the battery to deteriorate faster. So, to be completely frank, it's a dead end for the 3000mAh apostles, when the price difference isn't exactly going to force one to eat Top Ramen for two weeks or anything like that.