You can do that.
Just desolder the cover from the pickup, and it should come out easily.
If there is some wax on the top of the pickup, leave it.
Swap out the screws, and then put the gold cover on.
Use a couple of small blocks of wood to press the cover on, so you get it on good and tight. You don't have to crank it down, just snug it up.
Solder the cover back to the baseplate.
If the cover isn't tight, it will squeal like a stuck pig.