It does. Swiftfin: https://github.com/jellyfin/Swiftfin

a) It's not official, or even recommended at https://jellyfin.org/downloads/clients

b) I would never use an app that used VLC for playback.

It’s there. jellyfin.org/downloads/clients/all/

And it’s in their repo.

It seems to be status “official beta” and closing in on a new release with a considerable amount of rework done.

I’m running a local build deployed to my appletv and it’s working fine.

>Jellyfin doesn't even have a tvOS client.

Huh? I find Infuse to be a very solid tvOS/iOS client, and they added built-in support for Jellyfin over 6 years ago [0]. It's right there at the bottom with other media servers they support (Emby & Plex). What's your issue with it?

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0: https://jellyfin.org/posts/client-infuse/

The cost isnt ideal. Especially for a jellyfin user.