I'm not sure what "high fidelity audio" and "broadcast quality" mean
Not everyone has ears that hear. Broadcast quality is easier to understand. It's the way stereo FM sounds. If you can't tell the difference between hearing Yes' Roundabout on the radio amplified as opposed to listening to it off 16bit 44.1kHz CD audio on decent speakers, then you'll probably not notice the difference between CD and 24bit 48kHz DVD audio, nor the difference between a 128kbit mp3 vs 320kbit mp3 or those compared to flac (actually, I can't tell the difference between 320kbit mp3 and flac).
Mostly the issues with audio fidelity are in the high end. Seems like audio accessory manufacturers are obsessed with low end, but nothing is defined in the low end. At a lower bit rates, cymbals sound not unlike glass breaking to me. It's the high end that gives audio definition. Too much high end, of course, is terrible, but as long as the high end has resolution, and there is some low end, everything will sound decent.
Try focusing on the cymbals with your wireless headset and compare to a CD being amplified in the room. If they sound like cymbals to you rather than fragile things breaking, you're lucky.