If you don't need a monitor, you don't need the computer as we know it today. Combine it with a brain computer interface and you throw away the keyboard and mouse as well. Subsequently you also throw away all the OS'es as we know them. AR/VR is a toy today. In the future our computers and mobile phones might look as arcane as an eniac.
Unless the computer is itself capable of anticipating and satisfying your desires — which, I grant, is possible, but, I would argue, incredibly, incredibly dystopian — you will need to consciously articulate your thoughts in such a way that the computer serves your will. That conscious articulation is the bottleneck. Not the keyboard, not the mouse, and certainly not the typing speed.
This is, of course, assuming that the computer remains the servant rather than becoming the master.
I am thinking of the keyboardless typing with wrist bands as an intermediary step. I agree controlling conscious thought is difficult, but you could just key in commands with small impulses of the wrists and it would still be quite a bit more convenient than pulling out the phone
If it needs to be a learnable skill like typing, that is just as revolutionary. The interface does not have to be that deep. Just enough to input words and movements. Hell it could be voice commands.