This sounds like a newer Drive with a chain-cable installed incorrectly. Because these cables are slotted, they develop a "warp". They must be installed so that the warp is inboard, not outboard. In the picture below, the right cable is on the drum correctly, but the cable on the left is 180 degrees out of phase so it sits "sprung" out. It needs to be reinstalled so that its natural twist in toward the middle.
The drums have a small retainer bump (see below, highlighted area). A correctly installed cable should not be pressing against it. It sounds like your cable has been excessively tightened and is held in by the retainer, only to jump "overboard" when the Drive flexes under stress.
I think re-installation of your cable should fix your problem. Try reversing the cable left to right.
PS. If you have not removed or reinstalled the cable since it came from the factory, there is a small possibility that the cable swedges could be misaligned during manufacture. In that case talk with your dealer about a replacement.