You are grammatically correct, that's exactly what "i.e." is supposed to mean.
But the bit at the start of the definitions list provides a universal "get out" clause, and the reality is that the FARs simply cannot be read with a strict understanding; there is so much "unwritten" in the FARs that you simply can't just read the FARs and understand the rules. I agree that's the way it should be, but it isn't the actual reality of aircraft certification.