Yes, pure old school SPAs have at least one additional roundtrip on the first visit of the site:

1. Fetch index.html 2. Fetch js, css and other assets 3. Load personalized data (json)

But usually step 1 and 2 are served from a cdn, so very fast. On subsequent requests, 1 and 2 are usually served from the browser cache, so extremely fast.

SSR is usually not faster. Most often slower. You can check yourself in your browser dev tools (network tab):

SPA: https://www.solidjs.com/

vs.

Poster child SSR: https://nextjs.org/

So much complexity and effort in the nextjs app, but so much slower.