The problem with this technique is you end up with "floating" points, which look fine at the star tips, but don't look so nice where the background point meets the star center. You will never have a point meet right at the intersection with this method.
IMHO a much better method, if you consistently are chopping the points off your FG units is use Deb Tucker's "Wing Clipper" ruler/method. Her method/ruler makes all her units slightly oversized and you trim down. Perfect points every time, unless you are inconsistent with your 1/4" seam allowance when joining units.