I can’t recall whom I had the discussion with, but perhaps months after the fact I decided to Google it. And here’s proof (albeit from a freely editable authority) that Equatorial Guinea is not on the equator like many assume.
Despite its name, no part of Equatorial Guinea’s territory lies on the Equator. However, its island of Annobón is 155 kilometres (100 mi) south of the Equator, and the rest of the country lies to the north. The country that comes closest to the Equator without actually touching it is Peru, 4.3 kilometres (2.7 mi) south of the Equator.
So there, whoever you are.