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A comparable exception occurs for AreaSeries when it tries to draw Polygons. It doesn't occur for LineSeries.
Sorry for the late reply. When setting ConstantY2 to NaN, the area doesn't get a fill color. This can also be seen in the example library.
Perhaps a better solution would be to implement a Custom Series which supports my needs.
It is possible to work around this issue by adding a point from the Points collection to the Points2 collection.
This workaround only works when adding points to the Points collection. When using the Itemsource and Mapping properties of the AreaSeries, it doesn't matter whether you add a point to the Points2 collection: it will draw a point at origin anyway.
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As a workaround, I used the MinimumRange property on the axis to restrict the "zoom level".