I understand the gamer tag fear. To my knowledge, discord now allows for different display names on servers from your single account. I've used this for different servers where I want to use First L. naming or a character name from an mmo.
You can, but the setting is a bit hidden and when you're dealing with GenPop you have to assume they won't read anything, and find anything beyond basic features too complex. I mainly use the setting for sharing my timezone. The nice thing about discord is the server admin can precisely say what a server should look like, so people don't need to find and join channels. It's just there.