The access = private tag is indicating that the object is not to be used by the public. https://wiki.openstreetmap.org/wiki/Tag:access%3Dprivate
Service roads here are private restricted through signage. As I provided in the notes, St. Alban's Day Nursery has a private access easement to access 3465 Brooker Street. "Brooker Street" is so named between Thomas Avenue and Charles Terrace even though road is privately owned. Other road names are erroneous and don't appear in any public records, or if so appear due to mapping error. See City of Miami municipal road atlas at pg. 47M showing no road names. Miami-Dade County does not control the road network in this section. I welcome your feedback; however, kindly follow OpenStreetMap good practices re: verifiability and respect for edits of other users. https://wiki.openstreetmap.org/wiki/Good_practice#Do_correct_errors