(Because Earth isn't at rest, it's travelling at 30km/s around the sun, and that's a free boost in terms of getting out of the solar system but velocity you nee

(Because Earth isn't at rest, it's travelling at 30km/s around the sun, and that's a free boost in terms of getting out of the solar system but velocity you need shed to lower your orbit sunward.) So, AIUI, it's easier to get to Alpha Centauri than to "fall into" the star we orbit.