You only need to copy the stuff that changed since the last time you copied stuff.

If you are really generating 10TB of data more than a few times a day, you can look into putting it in something like Kafka for real-time consumption by the analytics team instead of batch copying.

You just need to read the oplog, so it only needs to track your saves.

In general, you probably should have at least something in your stack which reads all changes from your DB, at the very least for backup reasons.