In the past, some people have raised a possible safety concern about use of lithium primaries (like the Energizer lithiums that you referenced) and their ability to handle heat in a high-drain situation or under an extended period of load.
I’d recommend considering switching to Eneloop NiMH batteries both for training and the actual event. NiMH batteries have an advantage over alkaline in that the voltage output is much more consistent whereas you’ll find the output of your alkalines getting lower and lower throughout the night.
For NiMH, you could go with the 500 cycle batteries which have roughly a 20% higher capacity if that additional capacity is needed. Roughly 2500mAh vs 2000mAh.