We do have a cockpit-podman plugin and have added recently some features to simplify management of podman quadlets. (podman quadlets is like a systemd-friendly version of docker compose, which is a good fit for a single server use case)

So if you get onboard with podman, you may get some benefits from the Cockpit UI for it.

But you are right, there are many different container technologies and we haven't catched up with all of them.