Firefox's safebrowsing feature uses a separate cookie jar, so if you are logged into Google those cookies will never be sent via the safebrowsing API.
Also, Firefox hashes the URL and compares the prefix of that hash to a master table downloaded from Google. If the URL matches a prefix in the table, Firefox requests all URLs that begin with that prefix hash. Google is never sent the full hashed URL.
Also, Firefox hashes the URL and compares the prefix of that hash to a master table downloaded from Google. If the URL matches a prefix in the table, Firefox requests all URLs that begin with that prefix hash. Google is never sent the full hashed URL.