The Natural Laws were put in place by the creator or preexisted him.Either way it doesn't change my premise.
Humans have reached a point of comprehension and evolution to be able to come to the moral awareness of objective moral laws. Which are natural laws embodied by God, who is the highest Good. Otherwise he could not be God, the perfect judge. (read Boethius to understand that notion).
So yes it does change everything. You fail to see that morality is the way men become gods by association, what we are not by nature. Perhaps they are beyond natural laws, perhaps they are apart of them. For most view the natural man as an enemy to god and even matter itself as corrupted in certain theologies. The goal is to rise above the universe, the physical, the material. And rise to the next level of being and perfection.
He is not controlling, he is judging. Objective morality is not absolute. He has the divine authority to Judge as the supreme intelligence. Therefore his ways are higher than ours and his comprehension of human purpose.
Whether God created the moral compass or not doesn't change that if there is one, that it is of supernatural value if it is above natural law. Or of natural value if it is of natural law.