I agree 100%.
One of the parts of my job that I dislike is watching people mouse around on the screen and try to type.
There's something so frustrating about tracking someone else's mouse movements and typing and the impotent watching when you know where they're meant to click or what they're trying to type, but seeing them flail around, that I find very unpleasant.
Also deflecting people's ideas I would find very tiring, having to explain why you don't want to do something you know is a bad idea, or explain why something you want to do is a good idea. Much more efficient to just do it in the best way you can think of, then have a code review later.
Seems like a waste of resources to limit two people to doing the one job.