I've heard this argument a few times, and I don't think it passes legal muster. A computer is much more analogous to a fancy paper notebook than a part of your brain.
With how some people use smartphones, you really do start to wonder. Just try to get someone to leave their smartphone at home when they're going outside - they look at you like you're crazy.
I don't disagree with you, but I would be absolutely shocked if that matters one bit to a court.