I get where OP is coming from! To me, they are so tightly wound, they always seem heavy and highly taut; so the perceived tidy or usefulness factor is lost on me. I have a set of headphones with a coiled cable and they drive me nuts!
I added a basic extension lead, not the most elegant or sophisticated fix. Messy to tidy away though, a tangle magnet.
For future headphones, I vowed to avoid the coiled cable variety as I am ignorant to the pro's over standard straight cables?