stephankn, OSM inspector doesn’t do analysis of the whole routing graph. It just finds all the end nodes of lines, probably checks for noexit= tags, and finds out whether there are unconnected candidates.

The map at http://peirce.gis-lab.info/routing-map.php?mapid=TH-FULL&level=4 is updated several times a week. It represents how a road graph falls apart after converting it into CityGuide navigation software. Some of the roads are considered non-routable in that software, as, for example, service ways are.

Have a look at Bankok - a lot of small unconnected roads are shown there.