Yeah, not to get too into semantics, but from looking at the numbers, that as long as the circuit can take the voltage (which it seems it can) then with the rechargeable cell, the Lux III is driven near or just slightly over it's spec rather than significantly overdriven... Compared to the stock Q3 on the stock primary cell which significantly underdrives the Lux III.
Still, it comes down to this... If you have the ability to swap out the star, then the Q3 with a T bin star on the rechargeable cell is an impressively bright light for the cost and if you have to swap out the star after a couple hundred hours use then that still more than justifies the increased brightness and reduced cost of the rechargeables.
Plus, if you have a 2 stage tailcap, the amount of light that the low setting puts out is very, very usable...