Thanks for responding! In OSM all buildings are included public or private. You can use the tagging system to mark them private if you think it applies.

For more information about mapping in OSM check out the wiki: 
https://wiki.openstreetmap.org/wiki/Good_practice

https://wiki.openstreetmap.org/wiki/Tag:access%3Dprivate

So since these building do exist, they should be restored. Let me know if you need a hand doing this.