The disconnect here is the definition of "concerns."
One analogy is, imagine cutting a square into stripes. You're implying that there's only one way to do so, say, cutting horizontally. But you can easily cut vertically and still end up with well separated stripes.
The stripes, whether horizontal or vertical, are separated cleanly.
While you may see splitting by data fetching, view, etc. as the only way to separate by concerns, there are certainly others. The component model that has been adopted by many React users is one such way.