But he doesn’t. If Cf or Gh go down he has to reconfigure the whole mess. Portability != full-ownership.

No matter what host it's on, even if you run it at your house, if something goes down you'll need to do the same.

The internet as a whole relies on a huge variety of services all working as they should.

As a corporate senior eng, this does't look like a mess to me - just a few things, easily configurable in the matter of hours. My only concern would be if Cloudflare pages offer truly unlimited bandwidth, but so far the site is live. :-)

If he hosts from his house, if he loses internet he'll still have to reconfigure the whole mess. We don't own anything.

So we’re agreed, “fully-owned” is not the correct choice of words.