Both are deadly.
The crossbow is more bulky and harder to handle in tight situations.
Crossbow is not as effective at longer distances as most think it is.
Compounds require practice.
Compounds are MUCH quieter. Well, except for Mathews bows. Just kidding.
Crossbows require more care and maintenance.
I have not hunted with a crossbow but these observations are from second hand experience from several of my friends that do hunt with one.