The Fuzz Face circuit is the most well know of the fuzz circuits alongside the Big Muff. This largely in part by the usage of the Fuzz Face by Jimi Hendrix and David Gilmore. David Gilmore eventually moved to a Big Muff, which made that pedal well known.
Although Hendrix used other fuzz pedals from time to time, he became associated with the Fuzz Face. Likely because of his performance at Woodstock. I actually got to hold the Fuzz Face, and wah-wah Hendrix played at Woodstock. I was thoroughly pattered down, leaving the location where they are stored.
The term Fuzz Face has become a generic term for fuzz among some guitarists. Some major manufactures don't help in their marketing either. You're often led to believe there is one basic Fuzz Face, which is not valid. I'm not saying Dunlop is lying to you. I'm saying they're making a vanilla Fuzz Face with hopes it fits all.