Hey,
In principle, yes. Normalized VLAN is the one you define in order to fullfil your arbitrary requirements (hide core from custtomer vlans, assign one vlan per edge device, etc). It might be stacked on top or used to overwrite the previous tag.
The whole idea is that you decide which vlan tag is seen in the network (regardles of what it really was at the edge).
Cheers,
G.