When I was young, I'd get obsessed with things like tone. I had "my" tone (a bright, aggressive tone, scooped in the low mids with a lot of "snap" from a maple neck & with a lot of ~500hz mids pushed). Admittedly not a very traditional bass tone, but it worked in my band (imagine the Yeah Yeah Yeahs with a bass player instead of a guitar player).
Now I'm pretty much just happy when the engineer can make me sound like I know what I'm doing & trust them to make the mix sound good. The recent
The best P-bass tone in rock | TalkBass.com thread sort of proves that the sound in your head isn't necessarily the sound that's best in the mix. I've also been in enough mixdown sessions where every band member had too much of an ego to let their part be the one that wasn't pushed to the front of the mix. So I leave it to people wiser than myself to finesse the tone.
As long as it's ballpark what I consider a good tone I'm happy. The most recent recording (to be released real soon now ™) my tone is great - P bass into a B 15 into a Neve. Ahh bliss. I brought the P Bass and my fingers and let the engineer do the heavy lifting - mix of direct & mic'd? Yeah I think so - but I couldn't tell you what compressor or mic or DI or etc. that he used. Seriously, sounds great. If I didn't think so, I'd complain. Though on my acoustic bass, the tone is too low mid scooped and I need to work with the engineer on fixing that - very few ABGs sound good so I understand he doesn't have much of a frame of reference for "the tone in my head" plus the DI sound is very thuddy while the mic'd sound is very stringy, but once he gets it close to what I like, I'm happy to go back to flipping through magazines and noodling on guitars while other people have opinions.