I haven't seen any scaling issues for LiveView. Under the hood there's a websocket that push and pull events from a running GenServer for each session. Since each process is independent it's horizontally scalable as long as your able to route websockets to the same process in a cluster.
While not the same, I do know that single machine has been able to scale to a couple of million connections ( https://www.phoenixframework.org/blog/the-road-to-2-million-... ) with phoenix channels. Which are harder to scale than independent live views. Also our use case is for smaller scale than that (Not too many companies have a million people looking at their ml deploy pipelines) so I haven't been too worried.