DNS resolution has nothing to do with DOS attacks. Its simply hiding your dns requests from your ISP and other middleman, the site you connect to still gets your IP. Are you not confused with Tor? This is not the same thing.

And yes, browsers seem to be integrating this, and you can already manually change your DNS to use the safer ones.

The controversy is that DNS resolution was managed by ISPs or local network admins and this new trend is removing that entirely.

Oh and Cloudflare is one of those offering "public" (secure) dns resolution services. Rest assured, only them will collect your resolution history, not your ISP or your government.

If you are on Linux (many OSes supported), you can do this in the OS level using dnscrypt-proxy and cherry pick the type of servers you trust. It can serve your LAN and it caches too, very nice.