Looks like they have the green wires too maybe.I believe so, I might have to take the cover off again to confirm, but if it does have the bare wire, that would go to ground on the Pots as well (I think).
Here is the pic I snapped a few days ago:
View attachment 7386947
So don’t quote me on this, look for confirmation but I think the green and blacks are married together to put the pick up in series which will just give to the white and the clear left over.
Unless maybe that new p pick up is only 3 wires then …. I don’t know. …. Good luck!! lol.