Consider updating your vocabulary because the term is often used for both.
Note that rendering to the “screen” really means writing bits at a memory range, which is just one interface for displaying things. Html is another, higher level interface these days.
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."
Note that rendering to the “screen” really means writing bits at a memory range, which is just one interface for displaying things. Html is another, higher level interface these days.