Ehernet cable question in streaming systems


I want to install a "better" ethernet cable  between my streamer and remote wireless Google pod (my stereo system is in the basement}.  My question is this:  Should I also get a better ethernet cable between my router and modem (up stairs in my office) at the same time?  My thinking is, when I  upgrade the cable to my streamer, shouldn't the cheap, Google supplied cable between the modem and hub router be replaced too?  Thanks, Jim 
pfeiffer
I upgraded my cable to go upstairs where my full music computer lives, it made a great improvement . I would say upgrade all your router cables as I think you  shall notice a marked improvement.
Supra cat8 is a very good and affordable ethernet cable for upgrading your wiring.
I just upgraded to a Supra CAT8 based on a recommendation on a different thread. Significant improvement in sound over the CAT6.