sorry for the late reply as i only have time to attempt fixing it last saturday. no pics as well, sorry!
the actual problem where the squeaking is happening is located at the plastic part where the cups are being held, not sure what it is called... maybe the gimbals?
what i did to fix: sorry no pics because i dont have 4 arms to hold the z1000 clearly while taking a picture, but youll know what i am talking about once you opened the cups.
1. remove the pads.
2. remove the screws to open the z1000.
3. once opened, you will see a "block box" (one on each side) where it is adjacent to where one part of the cups is being held. there are also two screws that are holding that "black box" as well.
4. if you look at the side of the "black box", you will see a circle-like mechanism that prevents the cups to over-rotate and to prevent damage. just look at it lol... thats where the squeaking problem is.
5. remove the two screws where on the "black box"
6. get a WD40 and some cotton to prevent spillage. the "straw" thing from the WD40 is mandatory, it will be really messy if the straw is not used.
7. cover the "black box" with cotton, put some cotton where the cups are being held outside as well to prevent spillage.
8. put the straw on the WD40 and point the end of the straw to where the "circle part of the black box" is. you need to get past the cotton obviously.
9. apply the WD40! but not too much. one or two quick applications will do.
10. apply some WD40 on the screw slots as well "just to make sure."
11. remove the cottons.
12. get another bunch of cotton to clean up excess liquid from the WD40.
13. repeat the steps above on the other side. there are two black boxes inside the cups, so if the z1000 is making noise on both cups, you need to do the proceedure 4 times.
14. once everything is done, put everything back to how it was and dont forget to put the screw into the "black box" again.
if it is still making any noise, the WD40 did not made any liquid contact with the circle mechanism inside the "black box" so you might have to redo the process again. locate which part of the cups is making the noise first by slowly rotating the cups vertically or horizontally.
if youre not sure if you want to use a WD40 on a plastic, an all-purpose oil (Singer Oil is the brand i think) would do as well. but things might get messier since there is no direct way of forcing the oil inside that plastic "black box" unlike with WD40.
also, i added an open-cell foam inside the cups to get rid of the slight peak that i am always hearing in the z1000. thats the only thing i noticed, no change in other frequencies.
sorry for the long post and my bad english!