Why? While server-side based web sites can load quickly, there's something dissatisfying (to me) about clicking around a site, waiting for server responses, when nothing has changed.
Sure, js, css, img, etc. assets are likely cached in the browser, and you're just downloading a blob of gzip'd html, but wouldn't it be better to flip the script and notify the client, rather than the client clicking around, uselessly consuming resources?
A SPA combined with websocket connections allows you to implement the, "don't call us, we'll call you pattern". Granted, for mostly static sites this isn't particularly useful, but still, in principle, only consuming server-side resources when state has changed is a "natural" goal I'd argue.
There are tradeoffs with both approaches, but I'm leaning toward SPAs more and more.