Respectfully disagree.
I run separate signal chains per pickup on my pedalboard, by way of Rick-o-sound output. Compression on the neck pickup and high frequency expander on the bridge. Because the bridge pup has a HPF in line, I'm essentially doing multiband compression, keeping the lows big and present even as I move up and down the neck, dig in for more growl, pluck closer to the bridge, etc.
The result is far more dimensional than the effects simply run in series from the mono output of the bass.
And this is without getting into the possibilities opened up by using more standout effects such as chorus or synth, rolling off tone or volume on each pickup separately, disengaging the HPF, hard switching between signal chains, etc. etc.