Definitely more of a fish vs zsh situation, in my opinion.
tmux, to me, feels like "modern screen". It has some cool features, but at the end of the day, it just wants to be a terminal multiplexer. Great!
Zellij on the other hand seems to offer terminal multiplexing as an obvious first-class use case but "not the whole point". At the surface, Zellij is an opinionated terminal multiplexer that uses a nice TUI to give discoverability which you can turn off when you're ready to gain screen real estate. It's easy to make Zellij behave exactly like tmux/screen, and it's easy to configure via a single config file.
Where Zellij takes a turn in to a different direction, however, is that the workspaces you can configure with it can do all sorts of interesting things. For instance I once built[0] a python cli app which had a command that would launch a zellij workspace with various tabs plugged in to other entrypoints of that same python cli, basically allowing me to develop a multi-pane TUI as a single python Typer app. In one pane I had the main ui, and then in another stacked pane I had some diagnostic info as well as a chat session with an llm that can do tool-calling back out to the python cli again to update the session's state.
I think wrapping up a project's dev environment as a combination of mise (mise.jdx.dev) and zellij or nix+zellij to quickly onboard devs to, say, a containerized development environment, seems like a really neat idea.
0: https://github.com/eblume/mole/blob/main/src/mole/zonein.py -- but this is mostly derelict code now, I've moved on and don't use zellij much currently.