Will Inertia work without nodejs on remote hosting?

Yes. You can build the assets locally and then pull or upload them to the server. Node is only needed for development and the build step.

It depends if you have Inertia with or without ServerSideRendering.

"Server-side rendering uses Node.js to render your pages in a background process; therefore, Node must be available on your server for server-side rendering to function properly."

i just stumbled upon the same... made a complete project with Inertia and ssr just to find out during deployment to prod that my webhosting doesn't support node anymore... Now looking for ways to deactivate ssr, but keeping Inertia because of the Vue support