No detriments at all. It just means the component isn't grounded. They are much more selections with the third prong in PC's. They all will work just fine.
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Yes, there is nothing wrong with doing that. As long as it is an IEC terminal. The pos. and common will do as they always do, but the ground wont be attached. Many, but not all cd players are non grounded.
But you will have more choice in high end aftermarket PC's that have the ground. Hope this helps.