Library or service name.
Azure.Storage.Blobs

Is your feature request related to a problem? Please describe.
While working on Storage Webjobs Extension migration from V11 to V12 I keep finding places where original authors leveraged ability to traverse hierarchy upwards. I.e. jump from BlobClient to Container client (and to service client). To make it work with V12 I often had to pass higher level client along with lower level client or magically resolve creds or higher level client from some "context".
A recent example of such pain is in #16336 where in order to jump from BlockBlobClient to BlobClient and vice versa requires magic. Ideally I should be able to write blockBlobClient.GetContainerClient().GetBlobClient(blockBlobClient.Name).
Additionally the blobClients already have ContainerName property, so information about parent is available. But if someone doesn't have reference to higher level client handy then they're facing quite a refactoring as there's no good way to transfer pipeline and credential from one blobClient to other blobClient.

Adding such capability might ease a lot of migration pains.