Blog post author here. I don't know how small it can become because I haven't looked into optimizing for size yet. However, we can look to the native Qt libs to get a ballpark answer to your question. I just tried gzipping the binary .so files of QtCore, QtOpenGL and QtQuick on Ubuntu and that takes up 3.9 MB. That is likely a theoretical lower limit of what needs to be downloaded by the user, but I don't think we can expect anything close to that after compiling to JavaScript. Perhaps WebAssembly will help reduce the size in the future.
In any case, I wouldn't exactly recommend building a blog using Qt this way. If you want to try building websites with QML, qmlweb is much better suited. I rather expect Qt+NaCl/Emscripten to be useful for larger browser applications, like 3D graphics software, games, scientific simulators, and so on.