Accuracy is the wrong concept. Both methods are accurate, they just have very different edge behaviour. You must choose the edge behaviour you want.
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Originally Posted by IanB
For cropping off hard artefacts like VHS head noise or letterbox borders always use Crop.
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The crop command defines a hard edge of the image. Former pixels beyond that edge no longer exist.
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For extracting a portion of an image and to maintain accurate edge resampling use the resize cropping parameters.
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The resizer cropping defines the centre point of the edge. Pixels to the left and right of that centre point will be used to calculate the new output pixel. Only if the hard edge of the input image is encountered will sampling be constrained.