There's nothing saying a privately owned road or a road on a private right-of-way can't have a name. ¯\_(ツ)_/¯

Looking at what's already tagged on the map, the businesses facing this parking lot aisle seem to constitute the "400 block" of Forge Road. I don't know if it's actually signposted on site as "Forge Road SE", but the municipal addressing seems to treat it as such anyway.