Older published Dandiset version is displayed on the `Public Dandisets` page instead of the updated `Draft` version

When viewing the [Public Dandisets](https://dandiarchive.org/dandiset) page, the latest published version of a Dandiset is displayed. This behavior is expected except in the cases where the `Draft` version is updated, then I would expect the `Draft` version to be displayed.

As an example on DANDI Staging, [DANDI:213794](https://gui-staging.dandiarchive.org/dandiset/213794) has a published version from May 7 and an updated `Draft` version from May 20. On the `Public Dandisets` page, we see the older May 7 version:


Related issue:
- https://github.com/dandi/dandi-archive/issues/1727

Thank you