The "correct" angle of the drum head is related also to the type of drum stick tip you use: triangle, oval or ball. The wrong angle of the floor tom (or any other drum) for the drum tip will result in denting the drum head.
Tilted...AWAY from me...Carlock style. I saw him doing it, gave it a try...seems to work well when I'm playing traditional. Certain he isn't the first to do this, but he's the first I've seen live. By the way...that man is an animal.
I sit with my bass drum slightly to my right...so it's lined up w/ my foot. I learned this from Matt Ritter's video. With that...everything to the right of the kit feels slightly farther away, so I like to set my floor tom completely flat...and then tilt it ever so slightly forward (toward the kick) to put the center of the head more in line w/ my right arm.