I used to use my Amiga 1200 for ALL audio, and I've had it connected to very nice, very accurate speakers and a very clean amplifier at a time when one of my roommates was an audiophile. After explaining to him that bits are bits (why, for instance, the $5000 CD players which do 50x oversampling and "bathe the underside of the disc in blue laser light" and so on give you the exact same bits as a $39 CD player, and that it's just the digital to analog convertors which matter), he began to focus more on the quality and merits of various DACs. He then proceeded to help me test various types of DACs, including the ones in my Amiga.
14 bit on the Amiga really doesn't make a very audible difference. If anything, it slightly softens the sound, but this could also be due to the Amiga audio hardware (note I always had the filters off). But that doesn't mean you don't get accurate treble; rather, you get good treble that doesn't sound artificial as it sometimes does when all of your gear is clean and you put in a test CD.
Note that Amiga hardware with the filters off and good quality sound will always exceed the quality you can get from most audio formats. mp3s, for instance, make me cringe - the quality difference is tremendous. Most people can't tell because they're used to mp3s, but I can easily hear the difference. Also, most compressed (filesize compression) formats also compress (audio compression) the audio levels, so a track from a CD compressed (file and audio) would often have all of the levels evened out, and this completely ruins certain kinds of music. Classical, for instance, will die from audio compression.
So if you have good quality, clean 16 bit audio files without audio or filesize compression and you convert them to 14 bit and play them on the Amiga with the filters off, you'll have audio quality which exceeds most consumer device outputs, in my opinion.
There are other factors - make sure your power supply is clean, and make sure you have good grounds so you don't need a ground loop isolator (which affects the quality of the sound), et cetera. An Amiga can sound quite good!