When a barbarian reaches 11th level they gain greater rage which increases the bonus that they would get when raging.
The spell rage
Each affected creature gains a +2 morale bonus to Strength and Constitution, a +1 morale bonus on Will saves, and a -2 penalty to AC. The effect is otherwise identical with a barbarian’s rage except that the subjects aren’t fatigued at the end of the rage.
Since the spell states that the effect is otherwise identical to the effects of rage, does that mean if a 11th+ barbarian has rage cast on them they instead apply the benefits of greater rage instead of the listed lower benefits which are lower than the ability rage?