As I have already told you these aren’t service roads as their role in the network is that of a residential road, they are certainly to side to be a service road. Second of all, on TIGRER and other official Miami dade county sources these roads have the names you removed to please stop removing the name and tagging them as service. Second theses aren’t private as there aren’t sufficient gates to be considered as such (a road is only access=private between two gates, only one of these roads has A gate, not two), Brooker Street is certainly not private as it is seemingly for through traffic within the network.
Again I ask you to please stop making these incorrect edits as I previously explained.