That’s only if everyone else complies.

Plenty of organizations would likely jump in. Someone could make a site alleging the bad thing that happened as the result of Google Chrome and that pretty much tanks the entire case. It would be very hard to prove reckless disregard for the truth when there’s a website that alleges the claim. Furthermore, someone could simply write the code and distribute it, and every site displaying it would have grounds for displaying it.

All someone really has to do is find one thing that could potentially be a vulnerability in Google Chrome and they have grounds for making a scary notice about it.