Topic locked due to possible drama starting to build up.
Quick Answer for this topic: If there a player who is online on the server then that server will not shutdown. There may be times where you get kicked for either "Timed Out" which is on your side or sometimes there will be something else.
I suggest using the command /setidletimeout 0 to be sure that you dont get kicked off of your server when afk. Yes, some problems may occur at times but its just a little tip for extra precaution.