I'd like to remind everyone not to publicly discuss moderation actions. If you have concerns you are free to send an appeal or PM a moderator.
With that out of the way, it's highly unlikely you were chat banned. Chat bans in general haven't been administered for years. If something is significant enough for moderation to get involved you will be given a global ban where you won't be able to access any FAF service.
You probably just lost connection to #aeolus. You can rejoin it at any time by clicking the plus sign in the chat tab.