First of all, you cant have both max lumens and max runtime on turbo. The more lumens, the more heat. The faster the flashlight heats up, the sooner it needs to adjust down from Turbo to not burn you.
Second, why do you want max lumens? You think you do, but you really don’t. If you look at a light putting out 3000 lumens and then one putting out 3500 you would not see the difference with your eyes. You would only be able to measure the brightness difference with equipment.
I think you would be better served with a medium to high capacity battery and not a high drain. This Molicel P42A would be fine as well as a Samsung 40T or 50E. The 50E (5000mah) will give slightly less max output, but run Turbo longer and run all lower levels longer.
BTW, a FET driver is also called a direct drive driver. It’s like connecting a wire directly from the battery to the led on Turbo. So the battery as well as various resistance in the circuit will effect the brightness. The amperage draw will vary. Manufacturers have to use certain leds with FET drivers to make sure that they won’t get burned up by high powered batteries. It is a tricky balance. They can limit current by the components they use.