Bigger is not necessarily better. All cables are filters that pass some frequencies better than others. The work of a cable designer is to uniformly extend the frequency and power output of the cable by altering resisitance, inductance and capacitance. The cable that you substituted probably has a lower resistance (bigger gauge size) but a higher capacitance (I cannot comment on inductance-not enough information given about the cable design). Your wife is hearing the change frequency and power output caused by the insertion of the new cable and the interaction of the cable with the speakers network.
By the way you should be able to hear this change too. It is not suttle.
By the way you should be able to hear this change too. It is not suttle.