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.
once
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.