Let’s say, I upload some stuff under copyright to Autonomi as private data. Then I once download it using some proxy or 3rd app. After that, someone breaks into the proxy server and steals all the data in the log files, including data address to my stuff. He publishes the addresses.
Likely depends on jurisdiction and the media in question. If this was the US and said content was a movie, for example, you are guilty. The act of copying the DVD, even for personal consumption, is illegal under copyright law. That said, is anyone going to come after you? No. If the data is on Auotonomi and the log file is just addresses to said data, how would anyone trace it back to you anyway?