You didn't mention about the distance between each devices. But As I know, network cables are used for extending hdmi signals but you should choose right solution for your requirement. Hdmi normally high bandwith signal, especially 1080p.
When you check to market you will see two type of solutions , one network cable or two network cables. two network cable solution use one cable for audio transmission and other cable for video.
So, It is better solution than single cable solution. because you will have a chance to carry high bandwith from two network cables.