I've got a P and I put a Fender USA pickup on it; it sounds really good!
It is a good bass.
I did have a Shadow (German) pickup on it, but that got shifted to my Frankenstein.
I've also got a very beaten up MIM Precision, but I don't recall what it sounds like, TBH...
I did have a Squier, which I sold for £60 - it was surprisingly good; I think it was all stock.
That said, when I plugged in my Thunder, I did do a double-take, because it sounds darned good!
It is bloomin' heavy, though!
If I were starting out from scratch, I'd be looking at the EMG Geezer pickups.
(Dunno how I ended up with 3 Precisions - a few years back I'd have laughed if someone suggested I'd even have one!)