Better scripting / automation maybe? I don't have any specific example in mind right now, but being able to pipe things together with other utilities could make for interesting applications, and is easier than having to interact with a REST API.
I have an open source project that moved from using Jira to track issues and changes to Github. Before, when the project made a release, it would fetch info from Jira to create a changelog.
With this tool, I was able to do something similar using Github as the source of information instead[1].
I fetch the info using the gh tool, output the result into json, and use a python script to format the output which results in a decent looking automatically generated changelog[2].
It's not the most exciting thing, and I could have probably achieved it in a different way using the GraphQL API directly, but for the needs of the project this fit the bill and let me get on with the release.
Indeed, a project I work on has a release script which tags a release and all and currently uses a third party tool for the GitHub interactions. Now we can use the first party GitHub CLI commands instead.