Earlier quoted context omitted.
Unless you want your own dns server used at all times.
But why would you care about that? You're already connecting to Google's service, YouTube, so what does it change to use Google's DNS to resolve it? What is the circumstance where you'd care about not using Google's DNS but then connect to a Google service anyway? If Chromecasts allowed arbitrary web browsing, I would maybe see your point -- but they don't.
The reason doesn't matter. We should be in control of our own networks. Google shouldn't be deciding for us.