OSM best practice is to go with what is 'on the ground', regardless of 'official' policy. https://wiki.openstreetmap.org/wiki/Good_practice#Map_what.27s_on_the_ground

Do you know what the signs are on the ground? If they're at variance with the 'approved' name of the road, this can be captured through the many versions of the naming tags, eg, official_name https://wiki.openstreetmap.org/wiki/Names#Key_Variations

If you're not a OSM editor, you could consider becoming one and resolving this :-) Alternatively, you can add further detail here and someone will (eventually) rectify the map. 