As i understand profile is the thickness of the neck while the "assymetrical neck" is reffering to the way the neck gets wider from first fret to last.So i guess a guitar can have a 60s neck yet asymmetrical at the same time.
That would be a taper. The asymmetrical contour indicates that the backside of the neck does not have a consistent radius.
I could be wrong, but that's how I understand it.