Yes and No???
If it is truly yes and no, then we may both be right...or wrong. It must not really matter then, what one believes.
God allowed Hitler to live, knowing what he was going to do, just as He allowed Mother Theresa to live, knowing what she was going to do. If it is yes and no, then what is the problem with believing that God allows our concept of evil, just as He allows what we conceive of as good? Perhaps God is beyond what we perceive as good or evil...He is, after all, God.
I think, to be more accurate, we should substitute the word responsible for blame.
I do not know that Adam committed original sin.
Perhaps God is beyond all that we perceive.
In the end it's up to us to find our way.