the cord is straight for a reason: there is a little piece of coaxial cable inside. Sharp bends, coils, etc all can affect the impedance of the cable, and can actually result in a poor match and thus, poor performance and eventually can damage the final PA in extended use.
If one RTFMs on Motorola PSMs, they caution you not to coil the cable, or bend it sharply, tack excess cable in a loop, etc.
Public safety RSMs are designed for UHF/700/800 and generally are only effective if worn above the shoulder and away from the body as much as possible.