One of the big features in R80 was the unified console, you have the ability to log into the policy manager, click on the Logs pane and see logs from all connected log servers. If preferable you can also choose to only see logs for certain log servers. All communication is done through SIC, if one of the log servers is not communicating you will see an error in the Logs pane.
I have personally seen a setup where we tried to stand up a log server in a different location than the management server, but had severe issues caused by NATing. I am not sure if that is officially supported or not.