Do you have an oscilloscope to test out the distortion of this module? It should be interesting to see how much(if at all) distortion it will produce at maximum volume :)
You can basically get a frequency generator on the phone, put it on 1KHZ and put some load on the output of the module, or even a small speaker which has the impedance of around 32R. Then slowly rise up the volume on the phone, and see if it starts clipping(the peaks of the sinewave will be flat). But I guess you already know how to measure the distortion ;)