I see that this answer suggests the syntax for importing images as shown below (commented out). In my case, it didn't work out (complaining there's no modules to find in that file) and I had to switch to the syntax that's currently active.
// import Author from "../assets/author.png";
var Author = require("../assets/author.png");
The difference I can imagine is that I'm using TypeScript (transpiling my TSX by awesome-typescript-loader and loading my PNG file-loader) and they seem to use JSX. But as far my understanding goes, it all transpiles to plain JS and require in the end.
Being a noob on React, I'm not sure what the reason of this discrepancy is but also I'm not sure what to google for to investigate myself.