You could, but I don't think it will make it into the kind of sound you are looking for (and I'm a cable believer).
I've used a $100 cable on a $30 dock. It sounded good, but the improvements were more that there was more detail, punch and bass. I don't think it will do much to unify the soundstage. If you have interconnects lying around that you can try it with, why not give it a go, but I wouldn't spend 50 pounds in hope that the cable will fix something that might be an inherent characteristic of the equipment's sound.