The working temperature for LiFePO4 batteries is the same as for Lithium Cobalt batteries, and LiFePO4 can also catch fire if abused.
As for the lead acid battery in the OP, they can actually cause an explosion unlike lipo batteries, they do occasionally kill people when abused.
If a powerbank has all the required safety features, such as low and high temperature shutdown then LiFePO4 does not give great safety benefits.
My understanding is LiFePO4 is more stable chemistry and less likely to lead to thermal runaway. That alone would make it safer.