Looks like not much has changed from a similar survey I saw a few years ago. This comparison of six popular browsers was done by a Trinity College (Dublin, Ireland) academic:
"We measure the connections to backend servers made
by six browsers: Google Chrome, Mozilla Firefox, Apple Safari,
Brave Browser, Microsoft Edge and Yandex Browser, during
normal web browsing. Our aim is to assess the privacy risks
associated with this back-end data exchange. We find that
the browsers split into three distinct groups from this privacy
perspective. In the first (most private) group lies Brave, in the
second Chrome, Firefox and Safari and in the third (least private)
group lie Edge and Yandex."
https://www.scss.tcd.ie/Doug.Leith/pubs/browser_privacy.pdf