Balanced vs. unbalanced shouldn't make a difference in sound quality in itself. Balanced was designed for avoiding interference and hum when running longer lengths. Not a problem in most home environments.
When we do hear differences, it's usually due to variances in input/output implementation. For example, the reason "balanced" sounds so much better via the Bryston BHA-1 is because the unbalanced port was only added as an afterthought. Thus, due to the internal design compromise, it doesn't reflect what the amp can truly do. It's the amp, not the cable.
Taboo MKIII has dual 1/4" unbalanced jacks as well as a pair of balanced XLR's up front. Might/might not sound significantly different depending upon the internal configuration. But I aims to find out at the next meeting...
See...more knowledge, better answer. Thanks Nick.