If you're willing to flip the cups, you can also go with a heavier cable, then you can with one that travels through the headband. I "settled" on 4 strand SPC so I didn't have to have upside down Adidas logos. I know, I know.... its pure vanity reasons...
That's why I've been tempted to get a set of Amperiors at a great price these days, and do a cup flip and try my HD650 cable on them. The logo on those don't look odd upside down.
If you're talking about the logo on the left cup of HD25-1 ii, I know you can lever it off. (I used a scalpel blade) You just wedge it underneath and pry it up. Whether it can then be put on 'reverse' I haven't tried. it might be possible. I had to so when I fixed the loose sliding mechanism