Dude are you retarded , now your insulting my wife ( if she had any brains), get a job toolbox.
Moreover, though, your example is not a cable issue. You are comparing a mini-to-mini cable to a line out. The mini-to-mini is going from the Fuze's (assumedly poorer) built-in amplifier to your (assumedly better) external amplifier. So it's taking a line level signal that has already been amplified by the Fuze's amplifier, then amplifying that signal further.
Your line out dock puts out a line level signal; that is, one that still needs to be amplified before it will drive an unpowered source, like headphones. So it's running a line from the Fuze's DAC/preamp directly to your amplifier, bypassing the Fuze's internal amplifier entirely. We can assume the Fuze's amp adds its own noise (since it lives inside an MP3 player) and coloration (because it's cheap). It's usually considered better in any case to run a line-level signal to an amp.
So, long story short, nobody is insulting your wife, but your example isn't very useful here because it's not about fancy cables, but rather about the path from the source to the headphones.