No, that's absurd. It's about the level of abstraction, not how close it is to natural languages. Yes, most natural languages support high levels of abstraction, but that does not mean that languages that support high levels of abstraction are close to natural languages. They can still be quite far apart in other ways.

Basically, low levels of abstraction are closer to the underlying mechanics. Higher levels of abstraction allow you to think about what happens without having to worry about the fiddly little details. It's like the difference between neurology (comparatively low-level) and psychology (higher level).

For certain values of "close"...