I always assumed it was “Fedora Core” but I could be wrong.
Bonus question: what funny names have you thought of that FC could stand for?
I’m not 100% sure but I also think it’s a relic from the Fedora Core time: Fedora Linux - Wikipedia
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font-cache 
(stuff like fc-cache)
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Yes, this is correct
We used to talk about, for example, fc5 and fe5 (for “Fedora Core 5” and “Fedora Extras 5”), but unless I’m remembering horribly wrong, we never made fe5 packages — they all were fc.
When we got rid of “core”, we didn’t want to break things, so we kept fc. I remember some talk about "it’s now ‘Fedora Collection’, but we never really leant into that.
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TIL “leant” is a word.