No, they're always along the left edge of each monitor, with a couple along the right edge of the right monitor (#1). I've attached a screenshot of how I've placed them along with a screenshot of where they're at after a reboot.
Note that in the "after" pic, ALL the icons are on the left (#2) monitor and nothing at all on #1. If I (re)load the desired desktop icon profile, everything is OK.
One other thing: I had to restore my system to an image I took on 6/8, and when I first booted that image DF updated from whatever beta version had been released then to V6.0. I don't know if there was anything in that version jump that mattered. Also, the desktop icon profile I'm using was created in V6.0 because I thought an older profile might be the issue. It wasn't
EDIT: I had been using the current nVidia WHQL driver (337.88 ) on my Asus GTX780Ti GPU, but I just installed the new Beta driver (340.43) and the icons now stay in place after rebooting!
EDIT #2: I had to restore the system image again, and this time updating the NVidia driver has no effect - the icon positions are still scrambled after rebooting. I have uninstalled V6.0 and reinstalled it, but the problem is still here.