It's worse than that. You can't rename a bucket. You will have to create a new bucket and copy everything over.
https://aws.amazon.com/blogs/aws/new-amazon-s3-batch-operati...
Hmm, I was going to say something about the _cost_ of getting/putting a large number of objects in order to 'move' them to a new bucket. Does the batch feature affect the pricing, or only the convenience?
Sadly neither batch operations nor replication is free.
How so? cross-region replication doesn't replicate existing objects, only new ones.
https://aws.amazon.com/blogs/aws/new-amazon-s3-batch-operati...