After removing the fpm registry from the package index, it finally found a new home in the fpm documentation. You can checkout the new fpm registry at Registry — Fortran Package Manager.
Yes, adding the package to registry.toml is sufficient. The index will be rebuild once merged, but only become visible on the fpm-docs page after the docs are rebuild as well (I should put this on a cron job).
The overall workflow for adding new packages at the registry repository is still somewhat cryptic and not very user friendly.