Not was well as I would have liked. The Dogs are clearly great headphones, and gave me a lot of good listening over the past year. The 400i's are simply better all-around headphones for me, and very genre neutral. The Dogs shined on stellar material, but fell flat compared to the 400i's on the majority of my collection.
That being the case, I just mailed the Dogs to Mr. Speakers for the upgrade to the Alpha Prime. Even if they are stellar, flagship-level headphones, the 400i's seem like the best deal in the entire hobby to me right now. They just amaze me on every amp I have, and every source, including my darn HTC One cellphone.