You should look up the history of the Loebner Prize [1]. There’s a shocking amount of technological development in some chatbots that went toward simulating mistakes and typing patterns to make them seem more human-like.
In some of the later Loebner competitions, when text was transmitted to the human character by character, the bot would even simulate typos followed by backspacing on screen to make it look more realistic.
Wow it feels like the Loebner prize went away right at the dawn of the LLM. Is it correlated?