Having been involved in a few single page apps, I'd like to point out that JavaScript is a Turing complete programming language. There is no "just" about it. It may or may not be easy to work with, but the fact that it is a single page app or that it is React, had nothing to do with the matter.
After all, php is "just a web page with some templating commands" (and look at where that gets you).
Also, when you are enjoying that warm feeling from being "serverless", bear in mind that building something you value around someone else's service, especially if you aren't paying them for the privilege, may not be a spectacular idea.
This message brought to you by the American Society of Cynics. Pointing out that your glass is half empty is our calling.