Only if you agree to be a guinea pig. Again, it's not related to ungoogled, it's a basic flag in any chrome.
"Tracking Protection feature in the stable version of Chrome on January 4, 2024, starting with 1 percent of users."
https://www.thurrott.com/cloud/web-browsers/google-chrome/294652/google-to-push-forward-with-chrome-tracking-protection-in-2024