You left out the part about how you use them as a reverse proxy, which is decoupled from DNS. One is coincidental; the other required.
If they can inject script, they can also snoop on all your cleartext traffic without you knowing....
If they can inject script, they can also snoop on all your cleartext traffic without you knowing....
If the browser connects directly to your web server, how can there be Cloudfare's analytics stuff?
Check what IP address you are connecting to when you load textlog.cc. Is that an address that you control? If it's not an address that you control, where is it getting your page, and is that not called proxying?
Ah, because they can.