While you're correct that these ways are private, the stance on the OSM community is we do not delete these ways. Please see: https://wiki.openstreetmap.org/wiki/Why_we_won't_delete_roads_on_private_property.

After surveying this area on the 24-Sep-23, I have corrected these ways so they are private (access=private) as this was clearly missing. This will force routers to not consider this way; however, since it is not connected to anything, this is not much of an issue.

Please correct me if I'm wrong, but I was unable too see any gates leading onto these ways either. As this was a signposted private area, I didn't want to stick around and poke around too much to cause concern.

Thank you for your understanding.

(Also, I have closed your other notes in the area as they're duplicates relating to the same issue)