Well, I'm not using AHI (don't have it installed), and play CD audio back with Hippo player. The only non-standard thing here is the playback rate of 44Khz (using a 31Khz screen mode). It's still Paula playing a few samples with DMA however (and Paula can go much faster than DMA), so I'm still not convinced 
Are you sure you native 14-bit calibrated on Paula plays sound with DMA?
BTW. I use the native 14-bit Paula use SongPlayer 1.53
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