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Strictly speaking, you can't use a "whole world" data set in Orthographic, which by definition shows only one hemisphere of the world centered on the center point of the project. That you can get away with sometimes showing a whole world data set in an Orthographic view, like in the map, is a lucky accident. In this case if you reproject the ne_10m_coastline drawing to the same "test" projection used in the map, then you can drag and drop the map into the layout as a frame, pick it, etc., and it all works. But that's a lucky accident, just like the map showing the data set without weirdness (which it would show if the data set used areas and not just lines).
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