It's a battery thing, not necessarily a LFP thing. Using the classical definition of a battery: "a number of similar articles, items, or devices arranged, connected, or used together"*, where the battery is a bunch of cells, all working together to form a larger power source.
A battery is generally as weak as its weakest cell, unless, of course, there are ways to bypass a particular cell or set (string, sheet, etc) of them. With thousands of them, if one is bad, it can cause these problems. They are somewhat rare and may require the replacement of some. It's fairly rare but has happened on NMC and other cell chemistries.
Definitely not a good idea to run an old battery down below 10%.
* Merriam Webster definition #5