I'm aware that the designs @Sushi Box FX uses are much revered but I have never really liked any Ampeg tones. It is a personal preference but understand why so many bass players and engineers do love that sound.
For the record Jaco was devoted to Acoustic, John Entwistle was devoted to Sunn and lots of players used Fender Showman and others amps instead of Ampegs as mythos wants you to believe. There are dozens of forgotten amp companied that were once big players.
Do you have a preference for pedals that do the Acoustic, Sunn and Fender tones?