It seems like the author tested rote activities that were well within their comfort zone; I'd be curious to see how well they'd perform when trying to learn something new or work at something that they hadn't practiced before.
Apart from that, I agree that there is more to sleep deprivation than reaction performance. For example, some of my most creative moments were in highly sleep-deprived states. But how am I supposed to measure that?
I think a more interesting metric of reaction time would be using a competitive FPS or fighting game, that require tight reaction times and decision making. That way, any change in reaction time will be reflected.