Go ahead and take that into account, but hinge your conclusion on whether the logic's valid, if you wish to stay fully scientific. Frame X, in which law K is t

Go ahead and take that into account, but hinge your conclusion on whether the logic's valid, if you wish to stay fully scientific. Frame X, in which law K is tested, is defined to be small enough that the spacetime curvature is negligible there. So it's definitely small enough. The test of law K is conducted wholly within frame X.