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Using text messaging, they're not sending/receiving in real time at all. The link is negotiated, and even though the two kids were sitting 20 feet apart, the signal travelled a long way and had to be routed using hardware that doesn't work instantaneously.
Real-time comms will beat that every time, no matter what the mode is.
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I would agree with this; however, from what I can tell from the video, the text message was still being entered into the phone when the CW completed. So taking out the delay you are talking about, they still got their clocks cleaned by the CW.