Using LiFePO4 cells as replacements for CR123 primary cells in direct drive lights will almost always result in premature bulb or LED failures. Please avoid it.
As mentioned, for driving the EO-9 in a 9P, the preferred method is to use 2x quality protected 17500 size lithium cobalt cells from AW. The 17500 size cell is 1.5X the length of a CR123, so 2 of them will fill the space of 3 CR123s and deliver very similar operating voltage in use. You'll need to get a proper 3.7V cell charger to use these cells. Ideally, a properly made one like the Pila IBC, but other options that are safe and reliable are being found so stay tuned to CPF.
Please avoid Tenergy brand CR123s. In fact, all Chinese manufactured CR123s. Chinese made CR123 cells have proven time and time again to be the most likely battery to explode in a flashlight. They are not worth the cost savings either since they often do not perform at the same capacity as well made cells. Paying $1.50 for a USA made cell (RayoVac, SureFire, StreamLight, Panasonic, Duracell, etc) is often going to buy just as much runtime per dollar as paying $0.90 for a Tenergy.
Eric