You can zoom in and zoom out until you have the proper zoom level right in the URL, for example this is where I see the name labels on the default map layer:

https://www.openstreetmap.org/way/628560305#map=17/52.58289/-0.24761

https://www.openstreetmap.org/way/627546095#map=17/52.58511/-0.25095

This one is most probably eclipsed by a road name and an arrow on z17, but it shows on z18+:

https://www.openstreetmap.org/way/628560305#map=18/52.58019/-0.24853