yup this is cross over. my point was that it's too confusing what cross over and under really is. cross over = legs extend at the start of a new turn; cross under = legs flex at the start of a new turn and then extend during the shaping of the turn. not that that explanation is much easier. in this video he is clearly extending his legs to start a new turn so he's doing cross over turns. i like how his board pops off the snow and how he lands on a new edge.
and great, great point about how he uses the slope to slow down by going a bit uphill. most new riders don't even come close to doing this. great video...thanks for sharing.