I gone through a lot of hosting service providers and unfortunetly cannot find a single one that can be used without running nonfree programs, all of them require loading bulky obfuscated JavaScript apps.
I know of Codeberg Pages for static sites for example, but it is not suitable for any business or professional use.
The question wasn’t about avoiding installing but running proprietary software.
But as I said: once the DNS entries are set up, everything is routed directly to your machine. What runs there is completely in your hands. Same with VPS/root server: SSH is free. Pick the client you like.
I don’t know of a single registrar or hoster that I can’t run without libre software.
I get thy stand on this, personally I also have to compromise my software freedom to register my domains, but again OP asked to avoid X and saying after doing X you won’t have to is not answering the question.
But he said “proprietary software to run”, not to “setup” or “register” or whatever.
Ah yes, I bet thou canst also skip the booting part when thou runst software on thy compooter. And Jehovah (or an idol of thy choice) forbids any configuration or upgrade requiring a reboot.
If thou dissectst this even more clearly thou wouldof noticed OP asked about running a domain registrar or hosting provider, not using their service. Also the word was propietary.
Now, if thou excuse OP’s imperfect English thou can find a clearer description below:
Like virginity, it’s either with or without innit, or doth thou prefer thy olive oil lightly fucked?