Actually, it is a perfectly identical replacement for the original disk. That's why the aliases have references to the original volume name.
I just put an extensive reply to the same basic question
here, so take a look.
In summary, if you name the backup the same as the source before you boot from it, or make the original drive "unavailable", things will work as you'd expect.
Modifying all of the aliases on the drive to point to a new volume is, I think, pretty unwise... it'd be very hard for a user to understand, and it really goes against the whole idea of a "duplicate"...