No love for fuzz over actual distortion (though I am building a fuzz box with 50 year old germanium transistors, so take all of this with a grain of salt). Sounds like a fuzz box to me anyway, on that recording you linked to.
But no, I don't think you should ever do that to a bass. Bass is bass. If you want to play the guitar, play the guitar. Don't half ass it with four fat strings. That don't work. It don't hammer down correctly. Anyone can hear that. Any kind of plinking, buzzing, grinding or displays of virtuosity on the bass bore the living shit out of everyone but other bass players. Surely you recognize that.
Come on, man. Stop playing devil's advocate! Take a couple steps back...toward the drummer. There you go. Now just stay there and hold down the rhythm. Shhh. Good boy, good bass player.
:p