With conventional CSS-in-JS solutions like emotion and styled-components, SSR with these libraries still extracts the stylesheets at run-time, so it's not static extraction -- where the extraction is done at build-time. And your style definitions still live in your code bundles -- inflating the size.

Both emotion and styled-components have dabbled in supporting static (build-time) extraction, but it's actually a hard problem to solve when you have such flexible APIs. The libraries that have cropped up to support this notion of near-zero runtime CSS-in-JS (Linaria, Astroturf, vanilla-extract, and more) do so by providing tighter constraints surrounding what you can and can't do.