Basically, it appears that, according to the opinions expressed in the answers in this page, there is a difference between acceleration by a distant gravity field, and acceleration, say, against a wall as we crash with our car.
Let me restate the opinions expressed here in this form: we lock a person inside a windowless spaceship, then subject the spaceship to acceleration by rockets, or free fall into a gravity field. Then according to the opinions here, it is possible to distinguish between the two circumstances by means of experiments carried out purely inside the spaceship.
The statement above contradicts the principle of General Relativity, according to which (in layman's terms) it is impossible to distinguish between these two situations.
Your conclusion is revealed as even more strident by the fact that the OP explicitly mentions a uniform field, so that we are deprived of the only phenomenon (the deviation of geodesics) which can truly distinguish between the two different circumstances.
It also contradicts common experience: astronauts undergo a period of training in a centrifuge, where they are subject to collapses, loss of conscience, nausea, vomit. They are also trained in airplanes in free fall, which are better known by their nickname,
the house of vomit. It is revealing, at least to me, that the effects of free-fall or of a centrifuge are indeed the same, except perhaps for the severity of the symptoms; but there is little to be surprised there, given that the centrifuge is not limited to the modest acceleration, $1\; g$, which can be achieved during free fall in the Earth's gravitational field.