When exporting deduped data to tape, the data is re-assembled into it's FULL data set, and written to tape as the original data file. You cannot send deduped data to tape in its reduced size.
The benefits to this is that, when you need to restore, it's a simple operation, just pull the file from the tape. If it were deduped, the restore would take somewhere between 10-50x longer as multiple tapes need to be searched for bits and pieces of the deduped data to reassemble it. In some other products, the entire tape needs to be restored to disk first as a staging area.. What if it were TB's of data?
We backup so we can restore, not so that we can backup...
I think what you want in your last paragraph is the CASO option with distributed catalogs, or centralized catalogs on the CASO. You can duplicate backups from media server to media server, but media server #2, doesnt have any catalog data of the backup. CASO would solve that issue.
For SAN Based replication, use that for your quick recoveries that you can do from the snapshots themselves. Use the media server duplication feature to replicate backups to another site. I've yet to meet a single replication product that can do it all.... And this case is no different. SAN based for some data types, Exchange CCR/LCR, SQL log shipping, media server duplicate copies, etc... There is no magic bullet.. Yet.