The fact that identical twins look similar suggests that most of the variation in facial identity is going to be driven by a heritable element. If you could fully execute the program encoded by a person's DNA, I'd expect to see a reproduction of their face.

However, that depends on correctly mapping the program to its output. I'm skeptical that we're at the point where we can model this correctly. I think this is why you see that all of the predicted faces in the Venter paper look like a generic/averaged face.