I suppose it's all pedantic semantics, when you boil it down. I even said that technically, gravity's "force" on the Earth's surface is just a result of the geometry of warped spacetime (well, not in so many words). It may have been the way you worded your original that confused me. However, the main reason why we don't fall off the Earth is that the gravitational field we find ourselves in is much steeper than the one the Earth is in orbit about the Sun. We're sitting near the bottom of ours in a fairly warped spacetime so we feel the effects more so than what we would out in space between the Sun and Earth. It essentially renders us part of the Earth itself, so any change of inertia the Earth might feel in a change of its orbit wouldn't be passed onto us. We'd just "go with the flow".
Essentially we're too small to matter.
Unless, of course, it was a sudden and violent move....like Earth running into a brick wall (built by a Vogon construction fleet, of course
), or some giant goober space entity used us as a golf ball
.