duh....
and yet another false statement.....
What's false? There is a difference between a Luthier and a guitar tech unless you are referring to a dictionary definition.
If you want to go by definition then anyone who plays a musical instrument and exhibits a modicum of skill (can strum chords on guitar) can be called a Musician.
To the point though, two identical models of electric instruments made of the same materials from the same manufacturer can sound different. Two identical electric instruments from the same manufacturer made of different materials can sound the same. It's not just the wood.
In a blind test of recorded material the sonic difference between species of woods in similar instruments will be very difficult to discern if at all, even for a person with very good ears. It may make a
subtle difference, but not the kind of difference the OP is describing.
Try it yourself - get a neck and a few bodies made from different woods, swap the bodies and electronics and see if the highs suddenly become muddy and muted.
Again, builders have been discussing this at length for a long time, and in the end if someone wants to think that their hunk of ash, alder, maple, or other exotic zoot gives their electric bolt-on neck instrument a special mojo other than visual, then cool.
To the OP - a good tech can make your P-Bass sound like a P-Bass. Maybe it's the pups, maybe the wiring, pots, and/or the cap, but there's no reason you can't get at least very very close to the sound you're after.