"Not everything moved. Cloudflare is a US company, I still use it, and I’m at peace with that."

I am not. THe cancer of the Internet. Sometimes Cloudflare does not work abroad. It is annoying.

"Here’s the reasoning: Cloudflare sits in front of my public-facing websites. Its job is to cache, protect against DDoS attacks,"

If your host has no protection against DDoS then find a better host.

You can find very cheap CDN, if you really need them. Likely you dont.

As a word of caution, Cloudflare can have a devastating effect on SEO if you are not a paying customer and serve your stuff from your own URL. Cloudflare allows this only for paid accounts.