cable recommendation please from router to wall?

I see alot of ethernet cable recommendations here and while I am in the process of shopping for an upgrade, I was wondering if I should also be looking to replace the coaxial/bnc cable that runs from router to wall

currently using a cheap amazon cable for this purpose (then from router 1 cheap amazon ethernet cable to tv which works great and 1 decent chord company ethernet cable to my streamer)

should I be looking at something like a good audiophile type bnc cable to go from router to wall

would this effect tv performance?

thanks in advance