This is nice, especially the multi run. But it seems to be a boiled down version of click at first glance...
Hydra actually comes with built in Python logging configuration, it's just a part of the configuration object and Hydra is setting it up for the app: https://cli.dev/docs/tutorial/logging
You can override this from the command line (unlikely but could be useful), or completely replace it with your own logging config: https://cli.dev/docs/configure_hydra/logging
This kind of flexibility is a core part of how Hydra build the config, it's not limited to it's internal config (like logging) but extends naturally to the user config as well.
Hydra has some overlap with what MLFlow is already doing, but I am sure MLFlow can benefit from configuration composition.
Another way to look at it is: What kind of Hydra plugins can be backed by MLFlow. for example, remote launching to any cloud can be implemented as a Hydra Launcher plugin. Currently the included launcher plugin is trivial (local execution), and the more interesting launchers to launch remotely are not open sourced as hey rely on internal FB infrastructure. Supporting the major cloud providers in Hydra through plugins is definitely something I would like to see.