Carlock tilts his snare away, which makes perfect sense to use with trad and is the angle the grip was developed for.How so? Tilting the snare like this allows the stick to be almost parallel to the head/rim. It's something that I picked up from the Jojo Mayer Secret Weapons DVD. Honestly, I think tilting the snare like this is the only way traditional grip would make sense to be used on the drum set, especially if you're trying to get those back beats in.
The guys I was talking about tilt the snare toward them. Opposite of Carlock, Buddy, etc.