Quote: "Quite to the contrary, the gravitational pull of the Sun far exceeds the gravitational pull of Earth! The only reason we don't notice it is because you, me, and the entire planet Earth are in free-fall with respect to the Sun, and so we're all accelerated by it at the same relative rate."

That seems off...googling suggests that the acceleration due to the sun at earth's orbit is a tiny fraction of 1G, and conversely, to have an acceleration of 1G would require going well inside Mercury's orbit.