Looking to compare and understand S3 transfer accelerator vs batch operations vs AWS Backup for S3

AWS Backup for S3 has some limitations but a great way to backup your S3 bucket and restore if needed:

• Approximately 30 billion objects per bucket.
• For an estimate 370 TB takes around 180 hrs to complete ( 7.5 billion objects ). You also need to take time to restore if you need to.
• It's best for resiliency and backup purposes.

Amazon S3 accelerator has a different use case:

• web applications upload
• on-prem to AWS cloud upload
• Mobile upload

Amazon S3 Transfer Acceleration can speed up content transfers to and from Amazon S3 by as much as 50-500% for long-distance transfer of larger objects. S3 Transfer Acceleration (S3TA) reduces the variability in Internet routing, congestion and speeds that can affect transfers, and logically shortens the distance to S3 for remote applications.

Amazon S3 Batch Operation:

• S3 Batch Operations is an Amazon S3 data management feature that lets you manage billions of objects at scale with just a few clicks in the Amazon S3 Management Console or a single API request.
• copying or replicating objects between buckets, replacing object tag sets, modifying access controls.
• It's fully managed service so Customer doesn't have to worry about the compute needed for copying the data.

So they are different services with different use cases. Depends on what you are planning to do, you should consider an appropriate solution.