Hi Sandman,
No gurus here, just a bunch of guys who have blown many a bulb in the elusive search for bright/cheap/small.
I think Pellidon has given you good leads on the runtime questions and shankus has addressed the 6-cell in 3D question. As to 3x123 vs 6xAAs, they are three quite different circumstances. First of all, you have three battery chemistries at play. Lithium in the 123s, alkaline and either nicad or nimh for rechargeable AAs. The 123s may deliver slightly more than the 3V nominal and will service up to 2.25A without much problem. The alkies have the highest internal resistance and though rated at 1.5V, may deliver less power than nimhs which have lower IR and are rated at 1.2V nominal. In practice, I've found that the more demanding the load, the better nimhs will perform relative to the alkies. I don't have enough experience with nicads to comment intelligently.
For example, I have a WA01318 bulb. Rated at 9.6V and 1.93A, it is an 18.5W bulb and reasonably demanding of the power supply. It is very, very bright on 5x123. Very bright on 4.5x123 and about the same on 10xAA. So in this case, 10 cells = 4.5 cells. Another bulb, the WA01185 is very bright on 9xAA, very bright on 9xAA and less bright on 4.5x123. so in this case, 10 cells = more than 4.5 cells. Why? Because the WA01185 is a 9.6V, 3.15A, 30W bulb. The lithiums cannot adequately supply the needed current so it's dimmer than on an equivalent number of nimhs.
I hope that helps.
Wilkey