How to make curb chains that hang flat/flush?

[ColinB]

I am attempting to make curb chains that can hang with all the links flush/ flat, as they will be used for earrings.

The first 2 photos are an example of a chain I did not make, which hangs flat and does not twist (my goal).
The third photo is an example of chain I've made, which twists when it is hung.

Any advice on how to achieve this flat hang? I've made many chains with various amounts of curb, and tried hammering them flat as well. All of which just end up twisting. Perhaps they need to be put through a rolling mill?

I am making these chains from scratch with silver wire FYI.

Please advise x