I think maybe you might be thrown off by the word "server"? Lsp is just a standardization of how an editor can do language-specific things. The fact that standardization exists makes the whole thing pluggable by various services. These typically run in a separate process - which is a good idea anyways - on the same machine and the plugin just starts that prices and communicated to it.

Typescript, c#, I think python, and JavaScript (and maybe Java?) plugins already do this

On Sun, Dec 13, 2020, 14:34 Jean Louis <bugs@gnu.support> wrote:

* TEC <tecosaur@gmail.com> [2020-12-13 20:35]:
> > From a perspective that some server has to know what user is writing
> > it is advisable to use one own's servers. But if idea gets popular
> > some company will commercialize it and centralize user's data and
> > privacy is gone.
>
> FYI the nature of LSP (as I understand it) is that the "server" is a
> locally running service that responds to signals from a "client" (code
> editor / IDE).

That is how it starts until corporation like Github or somebody else
takes it over. Just look at Github pattern. Git was decentralized
system that they centralized for 50 million developers and included
eye candies that one cannot self-host as one wants.

Jean