Why do the cords need to be unwound...
Two primary reasons, though one does not apply all that well to 30 amp cords.
First: All wires have multiple current ratings,, ONE of them is "Free Air"
Another is "Coiled" and yet another is "in a wall" This has to do with how well the wire can cool off when current heats it up. Somewhere I once saw a chart fo the coiled capacity but frankly, that was long ago. With the wires in a coil air does not circulate around the cable as well and it gets hotter.
Second is induction.. Coils offer "inductive" resistance (R sub j if I'm not mistaken, is the symbol) and like regular resistance I^2 R applies.. If you have one ohm of Rsub J and 20 amps, that's 400 watts of HEAT.