Even if what you were saying is true, what's the point in playing semantics?
All people want to point at when comparing Bitcoin to fiat is that Bitcoin isn't controlled by any single entity, while fiat is, and the implications of such. I don't think the fine print matters; the definition could be the same in its purest sense (relying on trust, etc.), but the fact is that they work differently in real-world usage.
People try to play semantics because they're trying to discredit Bitcoin, because they know if they're able to put bitcoin on the same level as other normal FIAT currencies (and convince people of such) then they've achieved their goal and everyone is going to move on from bitcoin and go back to what they were originally using, which is FIAT MONEY.