Finding a thread in there is amazing, unless it is metallic then I cant see how that would cause the wiper to switch on.
You could open the switch again, inspect it for burns, particular underside, it is not practical to take the switch apart, but you could spray switch cleaner via a straw attachment through the available holes in the switch mechanism, and work it in by operating the peg with the IGNITION OFF.
Protect the vinyl dash / center counsel etc from the spray of the switch cleaner.
You could put the end cap, plunger and spring somewhere safe and use the car as normal for a few days, operate the wipers as usual by moving the peg to the appropriate positions as illustrated in pictures. You could gently fiddle with the peg at the 0 position, without activating the wipers to see if that might give some clue as to whether the fault is in the stalk switch.
Put a small transparent bag over the naked switch, secure at the end with a rubber band, this is to prevent you from short circuiting the wires and to prevent the loss of the peg which can be pushed out of its location when the square cover is not over it. If the peg dose come out, just push it back in again, the switch won’t fall apart.
In your earlier posts you said the blade was not parking in its correct position, is this still the case? I think this is due to either loose nuts on the back of mechanism or stripped gears inside the motor, there are links to these issues in this post, on page 1, it will mean taking out the mechanism again and opening the motor gearbox to inspect it, see pictures.
Let us know how you get on.
Dec