The Akai is a killer sounding unit...I'm not wholely sure what you're wanting to do, though--it's mixer sounds better than ProTools, so I'm not sure why you'd want to transfer to the computer for mixing...?
I do transfer WAV files via USB to/from Nuendo if there's some special editing/plug in--and fly it right back into place. But, it's really a rare thing. The traditional editing in the DPS24 is simple and much more effective than software. Now...if you need to do beat detective kinds of stuff, you'll need your software. but, basic stuff is easier/quicker in the DPS24.
I had a guitar solo that was killer, but I missed one of the bends...I mark the in/out(w/dedicated buttons), export the phrase or note to the PC via USB (3 seconds), open Nuendo, Autotune the bend up, export it back to the Akai, where it falls sample accurrately back into place--now in tune.
You can transfer broadcast WAV or AIFF...either via CDR or USB1 to a PC or OSX Mac. I've not used the AIFF export, but I assume it's the same quality.