My point was more about the fact that voting in our FPTP system, mathematically, is an act not subject to the same "black & white" fallacy label as a discussion about who is the best candidate, because it actually is a choice between the top two candidates, which is why splitting the vote has been an enduring strategy.

But your illustration about the Fallacy fallacy—that is to say that even if something were a fallacy, that doesn't in itself mean it is untrue—is also a fair point.