If you prefer uncompressed audio or have high end headphones you'll need a wired dongle to hook it up to your phone. I don't know how much money OP has but I wouldn't cut up two devices just to prove a point. There's no need to tear them apart: The instructions tell you it only works with Bluetooth enabled.

There are many reasons to care about this: Cheap Bluetooth chips won't last long, won't deliver the audio you expect, won't support higher bandwidth/lower compression codecs and may interfere with your WiFi because they're on an overlapping spectrum without being certified to behave well around other devices.

No need to be obsessive about your EMF exposure.