By popular demand, new options have been added for the comfort of streamers!

Two new options are available under System -> Streamer Options

Usernames

Setting this option to "Hide" will replace other player's names with "NET-A" etc, to avoid disruptive usernames while streaming.

Lobby Names

Setting this option to "Hide" will replace lobby names on the lobby list with the host's SteamID, to avoid disruptive lobby names while streaming.

Steam friends' lobby names will still show up normally.

Thank you for the suggestions on how to keep improving the game!