No one denies differences in some of the details between what has come to be known and recognized as the modern nativity and what actually occurred in Bethelem at the time of Christ's birth. Not only is it common in art for various elements of a certain story or occurance to be brought together but it's also not uncommon for some details to be added or distorted over time and tradition. However, that does not deny either the existence, reality or events of the actual occurance.
For example, while some may think of three wise men, the Bible no where suggests that the number was three, but rather says that three gifts were presented (gold, frankincense, and myrrh). While in the current nativity, the number of wise men is often represented as three, that does not deny the presence of those who came from the east to visit the Christchild. Similar points can be made concerning all the rest of the details the media is perhaps trying to hype. It would be like suggesting that just because some details in pictures of George Washington differ from picture to picture, then George Washington and the things he did ... did not occur. Surely, anyone with common sense can understand the issues here.