Comment by conductr
I can see how interruptions would prove even more unnatural and annoying pretty quick. There's a lot of nuance in knowing how to interrupt properly and often, people that interrupt only do so quickly, then yield, allow person to finish then resume - very situational and tons of nuance. Otherwise, with current level of sophistication, you'd just have the AI talking over you the entire time, not allowing you to complete your thoughts/questions/commands/etc and people would quickly be more frustrated and just turn it off.
I absolutely agree with your analysis wrt current tech - however, I suspect the person you're replying to is talking about "what would be really cool" in terms of it happening in a future where the relevant underpinnings had advanced to the point where it could actually manage the situational/nuance stuff properly.
I almost certainly wouldn't want to use something that tried to implement it now but it's a lovely dream and the state of the art keeps advancing at quite the speed (i.e. faster than I would have predicted, even when I do my best to take into account that it keeps advancing faster than I would have predicted ;).