I am of the same understanding
a higher protein(meat) is better for a hyperactive dog.
the confusion may come from labeling!
protein doesnt have to come from meat. it can come from beans etc. the manufacturers dont have to label what ratios of protein are in the food.
ask your pet shop for a food with high meat content not high protein as it can be misleading.
(i read that in a book it must be true
)