I love that a topic as simple as cable storage/management can spark this much conversation.
Anyway, just to reiterate, learning how to dolly wrap solves all the problems mentioned here. Try to find someone that knows it, and have them show you. By its very nature, it eliminates the need to throw that twist in the cable as you wrap it. If you find yourself having to twist your cables as you coil, you'll find that that problem only gets worse as you get further in.
It's super fast to coil and release once you get the hang of it. When my hand-held camera guy takes off running across a football field or basketball court and I'm handling his cable, I have to be able to feed him a tangle/snag free line, and pull it back in as fast as he returns, and do it all without any hiccups anywhere in the cable. Using this method allows me to do that. And if you ever wind up working in broadcast, this is one of those things that you'll catch a lot of $*^t over, sometimes funny, sometimes not, if you don't already know how to do it.
Trust me, I speak from much experience here. Coiling 500 ft. of video triax cable is a B*TCH. That stuff's stubborn. I know I've only referenced this issue to video, but it applies to any kind of cable, and everyone in that world uses it. Dolly wrap's the only way to go wrapping ANY kind of cable in ANY situation.