We've already had DNS-over-TLS as a system-wide setting covering all network applications for a long time. It's called VPN.
It takes more setup and maintenance than the average person is willing to do.

Not that any of this network-level wizardry matters in a country with laws making spyware back doors in devices and software mandatory - and secret even from the developer of the software.

I logged into my /. account for the first time in 6 years to say... what you already said. I also recall Clarke inventing ultrasonic windscreen wipers, at least in fiction.
IIRC, the character that invented it was the same character who built an artificial lake in the shape of the mandelbrot set.