I would like to be clear, is it only no live-streaming or is it no recording at all? I don't mind recording my gameplay to edit and post later. However, If it is neither, that is cool too. When you pay for servers they are yours to command.
You can record all you want. Live Streaming is the issue. We've had many problems with Streamers previously on our server. One of which ended up with a Streamer's cronies trying to DoS our servers and forums because we caught them cheating.