SQL in itself has a small backup/restore capabilities - using it's own scheduler, it's like a small backup software for itself.
SQL DBAs know how to do it (creating bak files) themselves, they are just pulling your leg mate, don't get dragged in.
"IF" the database is big, and they don't want big file transfer or there's no network connectivity between the two SQL servers, then yes they might need you to backup the bak files (which they created already) to tape, and you restore it to another SQL server.
:0)
A