I think it would be nice to be able to show people in-game some information about yourself and share a few links to your social medias and such.
Maybe there would be a limit on what social medias you can share and how many, but linking things like Twitch or YouTube could show when you're live, and maybe linking Twitter could optionally show your latest tweet instead of showing a profile bio.
Like, for example, it could say:
"CharacterName: JohnDoe
PokeMMOusername: JohnMakinThatDough
Twitch: twitch.tv/obviously-a-real-user ?LIVE
Reddit: /u/aRealUser123
I go by he/him and am a straight cisgender male. I also happen to be the name for an unidentified male person. My birthday is 1/1/1970 at 12:00:01 AM, which, fun fact, is the first second of UNIX timestamps. 255 characters max. This message is 248."
Obviously you could opt not to include your PokeMMO username, or only show it to friends, but that way people could find your other characters later and verify that you are in fact the same guy.