I am the proud owner of three basses, not as I need three, but because there is a LOT of sentiment involved, so I understand attachment.
BUT . . . if one of them had a sound I hated and a neck like a plank, I'd do the right thing: LEAVE it under the bed and ONLY drag it out when the loved one who got it for me was around.
I would think it very likely that the S1 electronics would need a look-see by ALEMBIC or someone VERY qualified. I'd be surprised if the original installation was done by ALEMBIC and who knows what's going on by now since 1979.
Working right, the ALEMBIC p/u's will give you EXACTLY what's going on, no preset curves, built in EQ, nothing but the truth. This is sound is not for everyone, and often a surprise to newcomers after most everything else. But you've lived with this for a long time, so who knows . . .
The real question is WHAT do you want to sound like? Are there any basses you've tried that fit the bill? Any particular tone on a particular record that sticks out in your mind?
Then you must remember that your 'instrument' is the total of all the links in the chain:
the strings
the pickups
the bass
your physical playing style(fingers, picks, slaps)
the cable(s)
the effects
the amp
the cabinet(s)
the speaker(s)
plus the room, the band you play with, your experience level, etc.
So, WHERE does it sound 'nasal'? Through what amp? Always? Sometimes?
We can keep dialing this in for you if you like.
Myself, if I just had to have a Fender (ANY of you can shoot me, no questions asked, if I ever post about getting one), it would be too easy.
Fender these days is making just about any bass in that style you could imagine. Then there's all the Lulls, Sadowskys, etc., for something a little more custom. I will grant you that it's like building a Ford or Chevy hot rod: EVERYBODY makes custom parts for them. So for me, I'd pick out the Warmoth parts I want, then round up the bridge, keys, straplocks, pickups and so forth and build exactly what I wanted.
But for the life of me, a Fender bass with Series electronics would be the LAST thing I'd have ever thought of. But if this makes you happy, I'd be glad to keep digging in this for you.
J o e y