I am a huge fan of that tone. That ADA MP-1 era had a bunch of guys who just crushed it with that unit. All the Michael Wagner stuff and a few others.
Singtall did a Nuno PG patch on the II, which I liked pretty well... IIRC he based it on one of the JVM's I am almost thinking it was the Satriani model. It sounded more Nuno-ish to me than the LT MP-1 tonematch, TBH. The Big Hair does not really remind me much of the MP1 TBH, the character of the distortion is different from my memory of that unit, which was my main rig before I went Axe Ultra in 2010. Leon may have been going more for his own main tone with the TM.
Still wishing
@FractalAudio would bless us with a model of this unit.