I don't think it is true. A AA sized lithium (Not an L91) is 3.6V 2100mAh, and that similar to the capacity of an Li Ion battery, however neither lithium primarly cells or recharageables don't tolerate abuse very well at all. If you work it out, on a Surefire M6 with the 500 lumen lamp, the battery is pretty heavily abused, and it is dead before delivering half of the rated capacity.
By comparison, NiMh, NiCd, and Alkalines are nearly unbreakable.
There are some NiMh AA batteries that are 2100Mah, but that is about 1/3rd the voltage, so nowhere near the total energy. D size is about 16,500mah. Slightly higher capacity then a D size NiMh, but again, roughly 3 times the energy.
When measured as energey per unit weight, the Lithium cells win hand down. The D size 3.6V Lithium is about 3 ounces, and has amp hour capacity that is similar to a D sized Alkaline.
NiMh is at least twice that weight.