Customizing sound through digital interconnect

Hi all, I would like to know your opinion about the following. Many audiophiles dislike the thought of tailoring a system's sound through cabling. I personally do not belong to this majority. I do use cables to "customize" the sound of my system. I know this could be achieved with interconnect and speaker cables and also power cords. But is it to a certain degree also possible to taylor a system's sound through the use of digital interconnects? In what way could a digital interconnect "alter" the analog sound? Another related question is: can someone design a digital interconnect so that it sounds more warm/less warm, more detailed/less detailed, more 3D/less 3D? What are the measurable parameters to guide you through this design process?

Chris