This looks like an impressive accomplishment, and I'm glad Cloudflare got the idea before Google did, because the latter are very interested in hoovering up every shred of data about me to better target their ads. I'll install 1.1.1.1 and give it a try.

However, I had to previously uninstall 1.1.1.1 after I found it draining my battery. I had a few mysterious instances of my phone dying a day early, and I couldn't figure it out until I found it warm one day and dug into what was using the CPU while idle. Turns out it was 1.1.1.1. I uninstalled it and the problem went away. I very much hope that's been identified and fixed by now (I use Android on a Pixel One.)