Sounds like I might need a second set of experienced eyes to look into the pickup installation.
You did, when you bought that Buster from me.
I think I gave you a diagnosis of that Westone.
You know where I live, come up with your basses again and we will wrench on your gear.
There was a can of Deoxit on my desk, I should have made you use it.
Fatdog and Gary Brawer used to come by the shops I worked at in high school and then when I came back from college in the early 90's to consult with whoever my boss was back then. I was in the back doing repairs and screwing together parts to make house specials.
You have a pickup height issue. I take a 1/8" allen and set height relative to each string with the highest fret down. Adjustments are made as needed. This won't help you bc that pickup is floating and popping up.
New foam may need to be cut to fit properly, screw holes need to be refilled if they're biting into air. The shrieking noise is probably rub, you heard it when my fret ruler went down on that Westone when it wasn't turned down. That pickup is hopping around making contact with strings. Anyone that's wrenched on gear has had a tool slip or the instrument is full up and hot while loose strings rub. It's a familiar sound. It also makes people switch springs for foam if they play really hard. That's not resolution in a nutshell.
Pop the cover and tell me what value pots and cap are in there. Check that against what is known stock for that model. Check with Lace to see what they recommend and compare it to what you have. That's where I suspect you are a step or more higher than that pickup wants to be. Thing was hotter than the J's I have here right now, and those pickups all measure above 12k.
Take a pic of your foams and post. If you are using springs we will replace with foam. Spin the pickup screws into the body and see if they thread clean and tight without wobbling when they're down. Normally I'd drill out the holes with a larger bit and retread with wood filler. Let the stuff setup. Tape down the pickup cavity, control cavity, plate, verify solder joints are good, spray out the pots, verify/clean jack. I have parts here, so I can jump in pots, jack, etc component by component if anything is bad.