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the viking rage says...
Berserker (Ex)
At 4th level, a viking gains the rage ability as the barbarian class feature, but her barbarian level is considered to be her fighter level –3.
This ability replaces weapon training 1, 2, 3, and 4.
When you become a higher level, does the rage upgrade to greater rage at level 14? so effective barb level 11? It's a little vague ,but i'm not sure it would work, considering that the greater rage is not actually a part of the 'rage' class ability, but separate.
I can't see how it would upgrade. Your reasoning seems correct.