😱 Edge apparently sends the full URL of pages you visit (minus a few popular sites) to Microsoft. And, in contrast to documentation, includes your very non-anonymous account ID (SID).
Reposting for everybody; Firefox, Chrome, and Safari do not send your browsing history to their cloud overlords like Edge does. They compare 4-byte URL hash prefixes with downloaded bad hash lists.
Brave supports Safe Browsing too. The only difference is they proxy the requests via their own server for the desktop version of the browser. It still uses the same approach of downloading lists based on a 4-byte (32-bit) prefix of the URL hash and uses the same service provider.