I've made a post every time I've banned or kicked someone unless I was openly talking about it in TS at the time with other people.  I'm sure my IP address shows up at the time it happened because I always had the chat page open in a tab on my computer that runs TS.

That said isn't it also possible to ban from the command line?  No logs for that?  This is exactly why everyone shouldn't have access.  It sucks but it's true.