VimTeX: A modern Vim and neovim filetype plugin for LaTeX files.
I think it would be best to let the author answer this, but let me just point you to some places where this hase already been discussed: :h vimtex-nf-lsp, and here.
An implementation of the Language Server Protocol for LaTeX
TLDR (please correct me if this is not a fair summary): There is no concrete plan of making VimTeX essentially a language server, and you may use existing language servers for TeX (i.e. texlab) alongside VimTeX to enhance/augment wour LaTeX experience.
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VimTeX viewer not working?
1 project | reddit.com/r/vim | 24 Nov 2022
Not so intensive syntax highlighting for LaTeX - how to?
1 project | reddit.com/r/neovim | 30 Oct 2022
best distro for LaTeX workflow ?
1 project | reddit.com/r/vim | 18 Oct 2022
Latex: vim or neovim
3 projects | reddit.com/r/vim | 16 Oct 2022
nvim, vim-tex - latexrun is not executable!
3 projects | reddit.com/r/LaTeX | 2 Oct 2022