well what your getting is a hint of overdrive, what i will say and im guilty of this is when you have a good sound on your own or "design an od at home it sadly does normally get lost in a band mix, i try and find a hole for the distorted bass to fit in. im also insanely luck in having a guitarist that is willing to work with me to make space for each other.
also ive been surprised sometimes as i think ive got lost listen to a recording and my bass sound fit really well.
but from your clip something low gain maybe even something like what you have the behringer set to have no impact or change sound but just with a small gain boost, i did this before i got my overdrive pedal to push the amp a tad, or in your case the pre amp.
andy