The choice of interconnects is more likely a function of the components they will connect. While power cords play some role in that choice I don't think they drive it. That said, what do you think is the relation between the choice of each? IAre there some specs or measurements that provide guidance? Or is it the resulting performance, most particularly the resulting sound what determines selection? I suspect an answer to your question is of little help without laying out a full system complement.
FWIW, a lot of Shunyata power cord users chose Shunyata interconnects. I used that combination for several years. The power cords continue to move forward with two things: maximizing current delivery (DTCD) and noise reduction via filtering. The ICs and SCs are oriented to avoiding or reducing electrical characteristics or properties of cables that can cause distortion or interference of the signal, such as dielectric energy absorption and release.