I received my replacement Dual Link DVI adapter a few weeks ago, and noticed that it was also fw 1.02 just like the previous one I had issues with. So I was very suspicious...
But, after using the new adapter for a few weeks now, I have seen the horizontal lines on black areas only once, and they disappeared very soon. And I'm staring at the monitor about eight hours per day...
It seems like there are just lots of bad cables around, and the firmware version is not important.
For now I consider this issue solved, at least for me.