In that case, the tagging you needed was access=private

Please do not add incorrect information to OpenStreetMap in an attempt to fix problems with an unspecified and probably buggy router.

They are service roads, not paths and there is clearly (private) access for motor vehicles as the aerial imagery shows.

https://wiki.openstreetmap.org/wiki/Tagging_for_the_renderer

Fixed in
https://www.openstreetmap.org/changeset/154895218