Re-reading the O/P, my advice would be that if you want a Ric to sound like anything other than a Ric, you've bought the wrong bass. They absolutely have a core tone that, whilst they're extremely versatile around that tone, is in their DNA. It's like a clarinet and an oboe, same sonic range, and good players can create a huge array of tones from each, but whilst at extremes one can sound a but like another, they will never sound the same to the players. And the Ric tone is not just in the PUPs, you can change them but whilst it will sound different, it will do little more than you can do with the tone controls on your amp or Sansamp, it will still sound much like a Ric, and importantly will still play much like a Ric. This isn't to say that your average audience, or even band members are going to notice, although I worked with a singer years ago who begged me to play a Precision over a Ric because in his opinion the Ric sounded wrong for the music (I think he was blagging) - but you as a player need to feel that you're producing the tone that's in your head.
A Ric with both PUPs open, strung with flatwounds, and played with a pic through a B-15 is one of the most glorious bass sounds I can imagine, with a beautiful pipey hollowness sitting on top of a powerful fundamental. It's a tone that just draws me in whenever I hear it - irrespective of genre - but a lot of people hate it