I mean, it will, because unfortunately there's still a ton of people who have that whole "So? Everyone does it, and they already have my info anyway. And there's nothing we can do about that so why bother." mindset.
Still, this is going to cause a massive privacy lawsuit.
Is this being baked into Chromium itself or just Chrome? If it's Chromium itself I guarantee you a lot of the various third-party Chromium browsers are going to jump ship, or remove that from their builds.