Depends on genre IMO.
Just about anything prior to say, like early '90's, generally no for "tone" definition.
However, typically after say, mid-late '90's more "modern" genres require an even "tighter" tone with medium to full body resonance.
I can get a very tight and punchy tone with just amp/cab config (GK), and Stingray 4hh's, but there's a little teeny tiny button labeled "Color" on my MXR Bass Distortion w/DI that is indescribable...and the distortion is RARELY engaged...
When using a pick, and say playing HC/Post-HC/alt Rock, the little teeny tiny "color" button makes the notes crisp w/o clank, med-full without hollowness/mud and just ...well... POW!
I mean, I can get REALLY close to "that tone" with amp/cab/bass, but that little teeny tiny button depressed just sends it to the next level.
I do not use/engage that pedal/button when playing finger/slap, just doesn't "sound" right.
As far as other FX, just typical as needed per song/genre; flange/chorus, delay, envelope filter and a pinch of compression. Nothing special.
All routed via input (upfront) not FX loop.