The circuit is different in two basic ways.
The ASDF has a gain control that adjusts both gain stages with one control. The opamp base Blues Breaker and other effects have this control the ASDF is done with two inverting C to B feedback stages.
The ASDF has the base to ground resistor that does not need as much transistor selection as the circuit without the base to ground resistor (text book circuit, BMP type, some whas first gain stage etc.)
The ASDF also has a series resistor in in the diodes cap feedback path
There was this thread from the past
http://www.diystompboxes.com/smfforum/index.php?topic=92997.0There are few ways to use two transistor gain stages for a overdrive, fuzz