Edit2: Man, the appropriation of the term "rendering" by JS people has led to some pretty stupid stuff, like this statement: "SSR, short for Server-Side Rendering, is a technique in web development where the webpage's content is rendered on the server instead of the client's browser."
Perhaps you should consider using less confusing terminology in your vocabulary?
https://developer.mozilla.org/en-US/docs/Glossary/Engine/Ren...
Edit: You say "often used for both" but I am struggling to find any other examples. Yhe closest I can find is this extremely poorly named static site generator project: https://github.com/render-engine/render-engine?tab=readme-ov...
Edit2: Man, the appropriation of the term "rendering" by JS people has led to some pretty stupid stuff, like this statement: "SSR, short for Server-Side Rendering, is a technique in web development where the webpage's content is rendered on the server instead of the client's browser."