The facedots are there for X-ray selection, because Blender is only able to select through meshes by selecting the facedots of the meshes. People are not aware of this, because the X-ray selection tools addon offers selection by touching edges/ faces.
The X-ray Selections experiment build effort by Lcas aims to include this kind of selection natively. This would allow you to hide facedots for selections (though some people prefer the facedots for mesh inspection to see overlapping faces).