Yea while it sounds cool to have multiple screens going I would think it would just generate more periods where nothing interesting is happening.
Progress is made because there are points where a command being spammed would pretty much point the player in the right direction with no chance of failure. But those commands being spammed would not nessesarily be helpful to one of the other windows, and it would not likely be intuitive what window you've been assigned to. And if it just assigned them in order the commands are entered, everything is going so fast that it may as well be getting assigned randomly. What is it up to now, 20? 30? commands being given per second? it would be impossible to get your command to go to the proper window.
I would think the end result in either case would be Red acting just a little bit more like RNG plays pokemon. There would still be progress made, but it would be much slower, and there would almost certainly never be anybody getting past two diffrent critical points at the same time. I would hazard a guess that the community would simply focus on getting one window past a particular obstacle, spamming the commands to all windows, getting that window to a relatively safe location, then focusing on another window's hurdle. While the other windows grind their faces into walls.