Anonymity is responsibility of a visitor in any case. If the visitor's anonymity depends on some website not storing logs, the visitor lost already.

Your browser knows more about you than you do. When accessing a website, anonymous or not, it sends a fingerprint so to speak to that site and its ad network. It’s there that your anonymity ceases and you are identified, classified, segmented, and fed more “How to stay safe online” ads. There’s no escaping it. Chromium is not to be trusted.