Nah; it's actually sport climbing, not trad. You can see in the higher definition photo that he's got a quick draw attached to a bolt below him. Trad (traditional) climbing means climbing without prebolted routes where you place pro(tection) as you climb, like cams, nuts and hexes to name a few. If he were climbing trad, you would see a bunch of pro hanging off his belt because he'd need to place it as he climbs. Also pretty sure there's not even enough going on on the dawn wall to climb trad which is why it's generally looked down upon to bolt a wall if pro can be placed. Trad climbing the same wall would be much harder than sport climbing the same wall because placing pro is so more more involved than placing a quickdraw. Also you have to carry it up. Also if you place pro incorrectly and you fall you can die. Sport climbing in practice is much safer.
To clarify further, the quickdraws are already placed for him. This is likely because the dawn wall is just that hard that you really don't have a chance if you have to spend the energy placing quickdraws as you climb.