Falling is very different from orbiting. Orbiting is accelerating, so requires GR, falling means inertial and only requires SR. Of course, in the larger scheme, all of the frames we care about are orbiting at the very least around the center of the galaxy. But that doesn't make all frames equally useful. It depends on the region of space one is interested in modeling. If it's one wants to model the movement of the planets in the solar system, a heliocentric (or more exactly barycentric) frame is the better one, because it allows for the simplest calculations.