99% of what you see with the word "server" vs "client" is actually orthogonal to SSR is that wasn't clear.
The React team (really Vercel + Shopify) decided to use the supremely misleading names "Server Component" and "Client Component" for two things that do not affect CSR vs SSR.
Even if you label the root of your app "use client" (thus opting out of all the new complexity around RSC and server actions), it's still getting rendered server side.