| “… is there something similar for a proper render also?”
Well, not really. What you can do, is Add a Wireframe Modifier with a different Material, something like this:

If you upload a model to Sketchfab, there is also an option to show the Wireframe.
And there is a Wireframe Node in the Shader Editor, but that gives the Triangulated Wireframe:

Which is probably rarely what you’d want.
My guess is, that you can also find Addons that do Wireframe Renders.
And there for sure are other ways to do this as well.