Sacha,
I guess one of benefits, particularly in regards to having a VR app, is that it eliminates the darned screensaver/dimming feature kicking in when viewing through the browser. That and it also has the ability to maintain fullscreen view even when exiting VR mode, essentially hiding the device's status bar and browser address bar at all times.
Also great if an offline solution is required and loading times are quicker. The only issue is downloading large tour apps. With 360° video included it can run into gigabytes. I personally don't like the wait or space usage which of course is the beauty of krpano being able to deliver a tour instantly in a browser.
That said, it's ideal for a client who requires an offline solution for a group devices/headsets in order to offer a seamless experience between and not rely on internet speeds, bandwidth considerations, etc.