For some reason I am still seeing the center crossing. Has the change not "taken effect" yet?

Thanks for making the needed corrections. And thanks for the information. : )

What brought this to my attention was that OSM navigation directed me to use this driveway to get to the neighbors house. It seems to me that if a path is tagged as private, that navigational recommendations should not include private ways, or at least give a warning of some kind. Right?