Does the physical drive matter when restoring an mdadm RAID?

I have a tar backup of a RAID-1, /dev/md0 (actually backing up from /). I would like to restore this to a physically different computer that also has RAID-1 configured. There is no doubt I can do the restore, my concern is whether there is anything in the RAID config (UUID?) that references the specific hard drives of the original machine. Note that the /etc/mdadm.conf of the source machine will also get restored to the target machine.

Will a restore to the target machine's / (/dev/md0) work without problem, or do I have to re --assemble, or something?