I'm trying to remember, from where the profile came.
I've profiled an old Master Volume Marshall and been tweaking the Marshall Golub Crunch profile to death. I have ended up with a bunch of different tweaks, some extremely heavy and some more in the crunchy domain. I've also changed the cabinet profile several times, but as in real life, I always end up with a combination of Marshalls and Vintage 30 speakers, sometimes with a little low end added with an EQ in the stomp section. That little trick makes the stereo perspective of two similar guitar tracks wider.
The sound for the clip, was actually a quite distorted solo sound, but with the volume knob on the guitar turned way down. To me, that always sounds better, than a super clean sound. Maybe it is the dynamics, I don't know - But I tend to go in that direction, whenever I play some clean parts. The Solo part, that is doubled, is the same profile as the clean, just with the guitar turned up...
This is the best i can do, because I've long forgotten what profile i used, and I change them all the time anyway. But take the Marshall Golub Crunch and dig into that. It sounds amazing