Aborted games still happen (I'm not sure what causes them--system error?) but not at player request. It's no longer the case that you can see what your newly matched opponent's rating is and immediately abort with no consequence. You have to resign if you want out, and that affects your rating.
Ah, just found an article--from 10/14:
"UPDATE: The Abort Button is now gone. It has been replaced with a Resign Button (so be careful where you click)! From now on, when a game in Fast Chess starts, you should play it out, regardless of colors or rating. If you click Resign, you will lose rating points just like a regular loss."
This has really improved DS's experience. I recommend trying the site again.
