I've been listening to the B5s for a couple of days now and can honestly say that I like them. A lot.
Now, I know nothing of "airiness" or "veils" or such. I just know that they sound much better, to me, than what I replaced (Klipsch Promedia 2.1). I am using these in a near-field desktop setup so they are no more than 1m away from my listening position. They are being powered by an Audioengine N22 desktop amp which is fine for this office setup but would be less than ideal for a larger room or further listening distance. I did feel that the sound could benefit by having a bit more bass so I connected the Klipsch 7" powered sub to the audio out of the N22 and things got a bit better - once again, to me. I've had that Promedia setup for about 10 years and may just be accustomed to having the SW running. That being said, I have every intention of adding a more capable SW in the future.
The speakers sound great with everything that I have thrown at them so far - classic rock (Stones, Floyd), indie (Band of Horses, Neutral Milk Hotel), post-punk (New Order, Joy Division), jazz (Davis, Brubeck), etc. All of this is being sourced from a PC in flac format.
All of this is just one dude's opinion, and this dude's opinion is that the speakers sound great.