Your headphone system looks to be of good quality and should have plenty of resolution to hear a sound quality difference in cables, if one exists. If you don't hear a difference, either there is no difference, or you can't hear the difference (or your music source files are crap). Either way you should just return the cables for a refund.
Regarding your Teac/Chane system, I've never heard them. I know they get pretty good reviews, but both (combined) cost much less than the interconnect cable you purchased. Do you expect them to have enough resolution to hear the difference?