The primary purpose of the stabiliser is to help stop bump steer and prevent the steering wheel trying to rip your thumbs off while you are on reasonably rough terrain.
I have the OME lift and a few months back bent the stock steering stabilizer in a creek bed
. The stock stabiliser is so pathetic that I did not notice it until the I went to put the disconnects back in for the drive home and saw it leaking. I drove the 300+ klms home over some ordinary sections of road and it was not too bad.
Changing the position of the stabiliser will do jack sh17 to stopping the DW. I replace my bent one with a rancho and you need to rotate the mount to clear the diff. I see guys with all sorts of brackets and mounts fitted to get the stabiliser up a bit higher and out of harms way and not reports of DW (nor did it cure the DW)
DW seem to be a random thing with the JK. The disease has been seen in stock, mild and wild lifts. But all are rare and random. And worst of all, no one anywhere has found the magic cure.