That's the part I DON'T like. I'd rather be able to ocassionally dial in definition from something located in Jazz Bass bridge pickup territory, but I wouldn't want a Sidewinder with that bite all the time. I have an extremely hard attack and am a 'tone control rolled all the way off guy' 90% of the time.
That's how I like my basses. On my neo pickups, the neck pickup sounds like a P bass. I actually modeled it off of the Ray Shulman's P bass from the band Gentle Giant. So it's a nice solid tone, but not muddy. Works real well on it's own. You can roll the highs off when you warm a thick slab of bass. I made the bridge pickup to sound good soloed. It has bite, but doesn't sound thin on its own. Together they get another tone.
My Sidewinders are my version of the old Lane Poor pickups. They are a cross between a Jazz and a Rick. But you can darken them up too when you need to.
I had a NOS mudbucker in my '73 Rick. That's the one I rewound. I really only rewound it so it would play well with my bridge pickup, but it still retained that deep smooth tone.
You can hear it on this track:
It wouln't be hard to make a tapped mudbucker, so you can go from the full mud winding, to something brighter.