Chimps "Grieve" for a Lost Loved One, Just Like People?

This is really one for Wesley Smith, but I can't resist. The BBC offers video proof that chimps "grieve" for their dead, just like people. And maybe they do. But from the highlights reel published online, I'm skeptical:

A unique, remarkable and intimate film may change the way we think about animals, and their ability to feel grief.

The newly-published film captures the solemn reactions of a group of chimpanzees who discover the dead body of a friend.

For 20 minutes, the chimpanzees quietly...