You can do this with regard to a MUD too, but typically out of character and not every MUD would allow OOC chatting within the game world, as that is disruptive to those players who seek immersion.
It seems to me as if you may not have found a good roleplaying MUD back when you played MUDs. You may be missing out on that experience. I retired from playing MUDs about 11 years ago permanently, but the in-world roleplay was the only thing that was interesting to me since it was the creation of a unique storyline potentially involving many other playercharacters.