I feel the same way with the DT931's in terms of its comfort and construction. They just fit on my head so perfectly and snuggly. I also thought they looked kinda cheap...but really when I can now so easily compare it to the K501...it is just a no nonsense fully functional design. Also it NEVER creaks or clicks or anything with head movement...this is something you just can't say with something like Grados or even the AKG501. Just a very solid or more substantial feel. They make the AKG501 feel like a cheap plastic snap model kit.
I think the DT831/931 construction really has no real faults...its really more of a simplistic or uninspiring aescthetic design that doesn't impress with an out of box experience. But after putting them on and having them hug your head and never creaking...well I think calling them your favorite pair of jeans was quite an apt analogy.
As far as sound...you may very easily like the DT931 with proper output impedance since IMO, I can sometimes forget which I am wearing. However the DT931 have some of the best ultra low bass extension compared to the K501's shallow one...and hence there will be the added powerful bass presence in the occasional recordings that has sub 30hz material. On the otherhand when it comes to upper frequencies...it is the K501 which I consider much closer to reference or my ideal. Since high frequencies are so often EQ'd differently from material to material, the DT931 will easily work or not depending on the recording (i.e. a lot of mainstream recordings are already EQ'd to boost treble...this is an example of what probably wouldn't sound good with DT931). Cymbals for instance can sound more in perspective with K501...they sound much like my silk-dome tweeters in my speakers. The DT931 clearly puts emphasis on the cymbals...they probably sound more like the titanium tweeters. Than again, I'm not sure my 16 year old speakers with silk dome tweeters would be a great reference. Right now I consider the K501 to be slightly fuzzy and distant with cymbals, but DT931 slightly too forward. Haven't taken the effort to see how Ety's perform with cymbals, but I'd say it'd be right smack inbetween.
So the DT931 is better at the lows, but I would probably choose K501 highs. As far as midrange it is a toss-up for me...this is one area where they are a photo-finish difference. The DT931 probably delivers a slightly smoother midrange, which because of frequency extremes can be also come across as slightly recessed in comparison. AKG501 has a very spickly clean detailed and forward midrange in comparison. On midrange only songs they are very close, but it is clear that the DT931 midrange comes across very smooth, while the AKG501 presents an ultra-detailed midrange. In fact AKG501 does midrange much like the DT931 do highs...almost aggresive. Fortunately midrange is rarely an offensive region to listen to compared to extreme highs.
Oh and finally to put things in perspective I still think there is more similarities in sound between DT931 and K501 than Senn vs AKG, or Senn vs Grado, or Grado vs AKG, etc.