You're right, I hadn't focused of FTF and the possible confusion between Failure to Feed/Fire. I always think of a failure to fire as simply a "misfire", which eliminates the need for an acronym.
Your particular stoppage illustrates very well the importance of the extraction/ejection distinction. One was the cause, the other only a downstream result.
Protracted neglect of the extractor certainly can and will produce stoppages, but in my experience most extraction problems are caused by a fouled chamber. Infrequently, but especially with third-world ammo, it's something more subtle-- like an extractor groove in the cartridge case not being wide or deep enough to let the extractor fully seat.