Except that they’ve already displayed that they won’t. Recently, Firefox users were targeted with an artificial delay on YouTube. When caught, they claimed it was about ad blockers… Except it didn’t affect chrome users with adblock and affected Firefox users without adblock.
And this has happened multiple times over the years, where little headaches and inconveniences would crop up on Google services, all of which could be fixed by changing your user agent so the site thinks you’re running chrome.