So far, this has only happened in the Innominate Was Here realistic server. I'll just suddenly die and the server message thing says that I disconnected, but I can still see everything that's happening around me and I can switch teams only to respawn for a second or two and I can't type anything.

Is this a server problem, or has something gone wrong on my computer where I'm still getting information from them, but not sending anything?

I've noticed that a lot of people have that problem on that server. I believe its something wrong on their end.