Just my 2 cents...
The player is always the craftsman and the rest of the signal chain are the tools he uses to hone his craft. The player chooses the notes, attack, style, plucking position, muting and the appropriate tools for the job.
The basses Ed picked show me different "tone universes" if you will. A P bass has an expected tone as does a Jazz as does a MM. Each one of those rings through to my ears in Ed's video.
As players, we need to pick the right tool for the job. Do we need the big hollow mids of a P bass? Grab the P or something with a neck pickup that can be soloed. Do we need a Jaco/Jazz burp? Grab a J bass or something with a bridge pickup that can be soloed and tweak the EQ. MM snarl and snap? More of a challenge to get to, but if you've got a wide aperture bridge pickup that you can favor and have a good EQ, you can get close.
I've spent the last year as a player working on creating as many different sounds out of a single bass as possible. In the process, I changed out the pickups and the preamp to give me more flexibility. I did this only after being able to distinguish what I was missing and now I can achieve a pretty wide variety of sounds by favoring neck vs. bridge, selecting different coils on the the MM pickup or by changing my technique or EQ.
Every player should know their instrument and equipment inside and out. What it can and can't do and what you can and can't do on it. The pros have done this over the years they've been playing. In the David Dyson clip posted by 'drpepper', David mentions the following that I think are important:
- Change in attack from home playing to gig playing
- Knowing which frequencies allow him to cut through
- What tonal signature he was looking for when switching from MTD Basses
- That if the backline provided a working SWR or Eden rig, he could get his sound
As the craftsman, he's picking his tools.
Bottom line for me... A competent player on a competent bass with competent equipment is going to be just fine, but even Marcus Miller playing a P bass through an SVT isn't going to sound like him playing a Jazz bass through his rig. The attack, notes, technique and attitude will be the same but the sonic signature will be different. Equipment matters, but it's up to the player to choose the right gear.
Matt