I want to see how the rest of the clay season plays out before I make predictions about the French. Until further notice, I will continue to consider Nadal the favorite, with Djokovic not far behind. If Nadal doesn't win the French, I could definitely see him going slamless this season. He rides his own momentum and confidence so much that I can't see him nabbing Wimbledon just a couple weeks after losing his pet trophy, and his chances at the U.S. Open are slimmer than at either of the other slams.
If I had to guess, though, I'd say he beats the record.