A repository in OpenSearch is simply a configuration that maps a repository name to a type (file system or s3 repository) along with other information depending on the type. The configuration is backed by a file system location or an s3 bucket. When you invoke the API, the physical file system or s3 bucket itself is not deleted. Only the configuration is deleted.
To learn more about repositories, see [Register or update snapshot repository]({{site.url}}{{site.baseurl}}/api-reference/snapshots/create-repository).
To verify that the repository was deleted, use the [Get snapshot repository]({{site.url}}{{site.baseurl}}/api-reference/snapshots/get-snapshot-repository) API, passing the repository name as the `repository` path parameter.