You're incorrect. If you've played the actual game you would know that even servers can be shut down.
I never understood that. Why would anyone ever shut down a server being used for data collection? As long as you are paying they would have no reason to suspect anything, let alone investigate what it's being used for. I mean, the warehouses full of nothing but computers rapidly preforming autonomous operations are pretty suspicious, but purchased server time isn't at all. Not to mention the base outside the solar system Destroys itself if discovered. I'll admit astronomers might find it eventually, but they could never reach it to actually discover who had put it there.
Well, the extrasolar base does have to communicate with earth (provided it is indeed doing so), so it would be possible to hack it/the data being sent from it and figure out what it is. In theory.
The servers, meanwhile, are (I figure) as follows:
Government: The government is checking out what servers are doing (privacy laws be damned), and notices that this one is doing weird shit.
Media: The media is employing hackers to get some dirt on the internet, and discovers that this server is doing weird shit.
Scientists: Can they even do this? I think they already have to be suspicious, in which case, they have a trace, now they are scouring the internet for more clues, like this weird server.
Public: the owner of the server tries to contact you for some reason, and notices that you speak like a chatbot (or not at all, depending on tech level), and decides to investigate your server.
The game is very much Gameplay>Realism.