Ah, see, but this is where the communication breakdown emerges.
Most people do not intuitively consider a body suspended in space as a constituency of atoms, with subatomic particles operating in static, yet relativistic motion about a nucleus of protons and the like, subject to such curvatures.
This is where the fundamental shift in teaching the conceptual principles of gravitation and motion need to occur.
Whether it's intuitive or not, one needs to lift away from the concept of the stone moving from point A to point B, and instead, think in terms of a collective glob of photons and other particles being subjected to the same warping of paths that affects the paths of photons, when they transit too close to the sun's gravity well.