It is interesting because I have exactly the same problem as the original poster. I don't see a server state for all the machines to which i don't have Windows access but for all the machines to which I can log on (via RDP) I see the green indicator.

I can however view all the services running on the remote server when the green indicator is visible. Likewise, where I don't have Windows account access to the remote machine, I can't view the running services using the services snap-in!

In my case the problem lies with my inability to access the Windows Server with my Windows Domain-based account in order to view the services.