The perspective of a map does not change how the cardinal directions relate to each other. You may be confused about how in slang, “south” may mean below and “north” may mean “above”, but that slang usage does not apply with geography where these terms are rigidly defined. The South Pole is categorically the southernmost point* — there is no location more south than the South Pole. The South Pole is located within Antarctica; ergo, there is no location more south than Antarctica.

*it’s beside the point to distinguish between the Magnetic South Pole and the True South Pole for this discussion but I figured I’d mention it