OP is correct. Einstein’s tensor calculus shows that there is nothing within a gravitational field acting perpendicular to centripetal pull. Therefore the leading theory of gravitation describes purely an attractive force. Such a force cannot, does not, and will not cause an ascending helicopter to maintain a stationary x,y position relative to earth’s local coordinate system as it rises, assuming earth is a rotating spheroid.

The law of conservation of angular momentum does not apply to gasses and does not apply to earth’s atmosphere. If the earth was spinning, a helicopter rising to 20,000 feet, hovering for one hour, descending straight down would land over one mile away from where it took off. I have done the math. I can demonstrate this unambiguously.