+1. Many of the demos are misleading. As much as I love them the PGS demos are useless because Andy can make a box filled with poop sound good.
There are many pro musicians that have that ability to always sound like them no matter what hear they use. I've heard stories about bassists meeting Jaco and had him play their gear and he sounded like he did with his vintage fretless jazz. It's part of the reason that as I've gotten older I've come to the belief that tone is 99% player/fingers, 1% gear. Not saying I'm the best player in the world, far from it, but even I sound like me no matter what I use. Sometimes it takes a little tweaking of settings and it may not always be exactly the same tone, but I will always sound like me. It's also why just getting the "best" gear doesn't make you sound better.
Rant over, back to the pedal question. I agree with frank that I the wampler black will be the best to get you a similar tone to the one in the video. Even though it will be differnt in tone, just thinking about the amount of grit and how it's responsive to picking you way want to checkout the barbershop. Fantastic OD, great picking dynamics, and has a good amount of grit to it, but the tone will be different though. What you're looking for maybe or may not be, but definitely check it out.