See GUI programming in Elixir? and Why would I choose Elixir as a general purpose programming language? - #11 by Qqwy - i.e desktop GUI apps are rare
While it’s not directly web related, IoT is likely the most relevant aspect commercially speaking.
The other thing is that BEAM languages will most likely be used to implement distributed systems - which will most likely use something like JSON-over-HTTP for communicating between parts of the system which aren’t geographically co-located or have to cross some other type of “trust boundary”.
Maybe it’s more productive to explore what particular aspects of “web programming” you “hate”.