I'm using a Raspberry Pi 3 running Raspbian with pretty standard settings and mostly manually triggered programs, except for a bot that synchronises two chats and a repeating Google Drive process. Usually only the power supply is plugged in, when I need it, I add keyboard, mouse and screen. So in general not much CPU/GPU and a moderate network load. The manually triggered programs need much more power, but I don't care much about that, since it's rare.
It's obvious that a WLAN connection needs quite a bit of power, but I've also heard that LAN is a significant factor. I wasn't able to find exact measures for both. What connection type needs less power, LAN or WLAN? And how big is the difference?