I think a PWA can do push notifications
Or you can use a push notification platform that brings its own generic app.
Still, there are reasons for the customer that makes an App mandatory. This seems to be the only reason for me not to go with LV. I don’t see why it should be a problem to have different roles of users. If anything LV is at the advantage here, the more complex the frontend is: the better not to write it in JS.
Obviously, if you have many concurrent users, the server has to keep up, but that is (relatively) easy with LV (and the tech behind it).
yes, good related reading for the topic. Phoenix Blog Post: Failing Big with Elixir and LiveView - A Post-Mortem 
