Great video,that looked to be the perfect trip.
I don't think you would gain anything with a trials tyre in that terrain.That said though,there are some advatages to running a trials tyre.I had to fit a trials tyre out of necessity when a AC10 enduro tyre decided to leave the rim.They are nice and sticky and perform a lot better over hard surfaces, rocks, logs, roots etc especialy in wet conditions.
There's a steep climb over a solid rock surface on a trail we use. It's not one of my favorites, you need to attack it with plenty of speed at the bottom and use your momentum to carry you up.There's a turn near the top and you have to loose a bit of speed here.This is where you loose traction and it's a tricky last couple of yards using the feet,and my success rate is about 50/50.
Now on this trip with the emerengy trials tire fitted the the husky flew up.No loss of traction on the slow turn.I even rode it down and back up, feet up on the turn.
In my experience though, you loose out considerably when travelling at speed on loose surfaces and they are useless in boggy conditions.
I can see the advantages on the slow technical stuff, but on an enduro bike the advantages are outwieghed by the disadvantages.