Apple's browser is probably lacking necessary features. They have been much slower adopting features than the competition.
It's not a matter of speed. This seems to be using WebRTC for handling communications between the phone app and the browser. Safari has chosen not to implement WebRTC and so far it is still not a proper standard so I can see why. Google, as the developer of WebRTC, will obviously support it right away. Note that no browser other than Chrome can be used as well.
1. The frontend only works on Chrome for desktop (it appears only because it uses the non-standards track filesystem API)
2. The backend service and mobile app does not work with iOS (it appears because it uses background networking)
They may seem related, but they aren't.