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The attached picture is small and hard to read. But it looks like you have one model with several features (Pad, Hole, ThickSurface in the PartBody. When you HIDE one of the features, all the features in the PartBody are hidden - that's the way it works with a CATPart file.
Instead of using Hide, try right-clicking on a feature and use Deactivate to blank it off, and Activate to see it again.