There are many use cases for which a client-side framework like React is eesential.
But I feel the vast majority of use cases on the web would be better off with server-side rendering.
And...
There are issues of ethics here.
You are kidding yourself to an extent when you say that you are building a "client-side web app." It is essentially an application targeted at Google's application platform, Chromium. Sure, React (or whatever) runs on FF and Safari too. For now. Maybe not always. They are already second-class citizens on the web. They will probably be second-class citizens of your client-side app unless your team has the resources to devote equal time and resources to non-Chromium browsers. Unless you work in a large shop, you probably don't.
Server-side rendering is not always the right choice, but I also do see it as a hedge against Google's, well, hegemony.