1. The Do Not Track header set by browsers was used by sites to fingerprint and track users.
2. World's largest tracking and advertising company is also making the world's most popular browser.
and
3. GDPR was adopted 9 years ago
So the answer to your question is: no, they never will.
Exhibit A: Google assumes Chrome is just another service to track you: https://x.com/dmitriid/status/1908951546869498085
Exhibit B: Chrome's "more private web" sells your browsing data and behaviour by default: https://x.com/dmitriid/status/1664682689591377923