200ms is a good measurement on how fast a skilled human can react with a single keypress like activating BKB or phase shift. Players like VP.Noone can be seen doing such reactionary moves even faster than 200ms. Double clicks will already take longer due to slow fingers, which would be the self eul's to avoid axe's call. The moves where eul's was used on axe or blink dagger to escape, well those require players to also move the mouse accurately, which takes even more time.
If OpenAI wishes to have human-like mechanical limitations to make things more about strategy, then they should definitely start adding some sort of action performing delays to actions based on roughly how long a skilled player would take to do them.