While I haven't compared the Project Horizon to a Bottlehead Crack, I have compared it to the following:
Amp purchases (in order)
fiio E10 (sold)
Aune T1 (sold)
Project Horizon
Asus Xonar Essence One Muses Edition
Woo Audio WA7
Driving Sennheiser HD 700, Beyerdynamic T1s, Beyerdynamic T5p, and Audeze LCD 2.
Headphones (and current amp preferences)
Sennheiser HD 700 = Project Horizon, WA7, Xonar
Beyerdynamic T1 = Project Horizon, WA7, Xonar
Beyerdynamic T5p = WA7, Xonar, Project Horizon
LCD 2 = Xonar, WA7, Project Horizon.
Both the HD700 and T1 seem to get slightly better bass slam to my ear with the Horizon.
I actually like all of the amps and they all sound very good to me. I just did a test switching between the Horizon and WA7 (both using the WA7 as a DAC) I have a hard time telling the difference in sound. To me just "slightly" better bass on the Horizon, but that may because of the tube...they really sound pretty similar driving the HD 700.
I am probably going to be selling my Horizon at some point though, as my desk really needs the space and the WA7 just looks so nice.