The ant example is just to try to illustrate the spectrum of intelligence in a way more people may understand (rather than just thinking of smart person and dumb person as the entirety of the spectrum). In the case of a true self-improving AGI the delta is probably much larger than that between an ant and a human, but at least the example makes more of the point (at least that was my goal).
The other common mistake is people think intelligence implies human-like thinking or goals, but this is just false. A lot of bad arguments from laypeople tend to be related to this because they just haven't read a lot about the problem.