I borrowed a HB from a friend the other day and today I´ve run the HB side by side with the SHOD.
The HB is the pedal that has the strongest "personality" as the SHOD is more transparent.
The SHOD is more "in your face" (in a good way!) while the HB is a bit softer sounding.
The BH sounds thicker and has more low end (I have the nature set at noon) whilst the SHOD is more focused.
Gainwise I suppose that the SHOD has more gain on tap, but as I run the focus knob at about 9 o´clock I´m not using its entire range of overdrive.
On my board the SHOD is located in between my Timmy* and the HB and that´s a good way to desribe its tone:
Something in between a Timmy and a Honey Bee! BUT, the SHOD is more dynamic!
I´m really happy with my SHOD, but I might buy a HB as well
(I prefer the HB with clean amps with lots of headroom, like my 50W/EL34 Hiwatt style head, and the SHOD with amps that compress a bit more, like my 30W/EL84-combo.)
*
Björn gave me an OP275 IC that I´m using in my Timmy and it´s the best one this far. (I´ve previously used LM1458, OPA2604 and TL072)