I previously created my own "native" app from this by wrapping https://web.whatsapp.com in an Electron wrapper so that I could have WhatsApp live separate from the browser, with it's own Dock icon.
Some ways in which the official app is better: * The official app extends to the edges of the window, whereas the web app has a "window on a background" design, which takes up more space. * The official app has keyboard shortcuts. * The official app has better notifications.