Because a reverse proxy doesn't resolve any of these major issues.
https://github.com/jellyfin/jellyfin/issues/5415
Your content can be probed, identified, and streamed all without auth. Your users can be enumerated in certain cases.
Edit: If you host legit content, like family videos... All of that can be leaked. If you don't host legit content... and the public site gets probed and they identify the illegal content... expect to be named in a very large lawsuit... either situation is bad.
Edit2: and hosting it behind a proxy that does it's own auth would break ALL app-based jellyfin clients.