I thought Tim Lefevbre used the Doom 2.
The Doom is a particularly high-end pedal with lots of features, which a lot of fuzz pedals don't have.
The Diabolik is based on the Brassmaster - with fewer features than the original, but sounds great.
The Brassmaster is an attempt at a bass octave-fuzz pedal - Where the fuzz sound is so mid-heavy with lots of harmonics, that it sounds like it's being played the octave above. It really is it's own sound.
The Black Russian Big Muff is a favourite of the bass player from Muse. It's part of his go-to sound - Think Starlight and Supermassive Black Hole.
Realistically, as long as the fuzz has a good bass response, you'll be fine with whatever. If it doesn't, splitting the signal so you have a clean sound mixed with the fuzzed sound will cover the bassy end of things, and will sound even bigger.