As OSM default map rendering is for contributors to do a quality assurance of their edits, such people can easily find out by querying ( clicking query button(arrow ) on the website menu) or looking at the detailed search results. Also I think more searches would be for places or habitations rather than administrative entities.
When standard maps are made, the geometries of areas are rendered differently with either change in thickness or style of dashed lines with a legend to show whether the line is a district, sub-district or a city boundary etc. In such cases the full name can be used if preferred by use of official_name.