The playback routine does not use AHI. Correct?
Not exactly. It does not depend on AHI mixing and resampling, as the old one. The playback routine just synthesizes stereo downmix at any choosen sampling frequency. Then this downmix may be passed to AHI for playback, but can be directed to a file, or may be fed to DirectSound if the routine is running on Windows for example... DigiBooster 2.x AHI dependency was main reason for lack of good replayers for non-Amiga systems, now it will change.
Of course DigiBooster 3 uses AHI for playback, to support as many soundcards as possible (someone on amiga-news.de got it wrong it seems...). But it does not depend on AHI, so for example rendering a module to file is possible without AHI installed in a system.
I hope it is clear now.