It seems like you wouldn't have asked that question if your network worked flawlessly. Saving bandwidth on local network seems like a weird saving on its own.

So I imagine that you might be suffering from a more fundamental problem: like having a low end router that you push to self-host and cater to a family of wireless devices at the same time.

Am just speculating of course. Could you tell us why are you chasing to reduce power of 5-20 watt device?