I might be confused here but I will explain a bit more.
To look at a battery we really need to look at the whole battery. To say a lithium 123 is only 1300mA and an alkaline AA is 2700mA is only half the picture.
The 123 cell is 1300mA at 3 volts or 3x1300=3900, which is 3.9 watts of power.
The alkaline is 2700mA at 1.5 volts or 1.5x2700=4050 or 4.05w watts of power.
So you can see they are indeed quite close in power in the battery. The problem is most battery run devices won't use an alkaline battery beyond about .6v, so about the last 1/3 of an alkaline is wasted. Personally I change them at about 1/2 full which is a huge waste of battery energy. So basically I get about 2 watts out an alkaline and the full 3.9 out of lithium.
Now step in fully regulated light (Opalec Newbeam). Regulation allows us to use the batteries until they are really dead, by extracting all the power. So once regulated lights become common I would imagine alkaline will be the battery of choice since they are by far the cheapest per watt (for disposables). This also opens up the way for NiMH batteries to come in to their own, again voltage isn't an issue with a fully regulated light so you can use NiMH's and have the same output as lithium, just not as long of a runtime. So now instead of choosing a battery by how bright you want a light, it is how long or how cheaply, you want it to run. The brightness will be the same. I can see that you might have a "head" or "bezel" that can fit on a single 123 body for 1-hour runtime or put the same head on a 2AA, or 8AA or even 4 D cell body, same light, just longer runtimes.
Did I help or just make more of a mess?