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In an arbitrary gravitational field no local experiment can distinguish a freely falling non-rotating system (local inertial system) from a uniformly moving system in the absence of a gravitational field.
A uniform gravitational field is equivalent to a uniform gravitational field.
I agree with you on the uniform field.The other question is one I've been considering posting a question on (elsewhere, away from Box Noise).I don't believe he did say gravity is a curvature of spacetime. I think he was basically saying that both gravitational field and motion distort our measurement of space and time in a similar way. He didn't attribute gravity to being caused by a bending of spacetime, but that the 'bending' describes how objects move in a gravitational field.