“Question: Does the server have the option to automatically kill a player after writing anything in the console?”
Yes, the Admin can Mute you and you get a Server Message then. Every time you use the chat you get a automatic punish then and the Server also sends you a Message like “You are muted by an Admin. Do not chat / talk while muted. You can Chat / Talk again next Round”…
If you ignore it and don´t stop using chat the System kicks you after a few warnings!